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ELLIPTIC GAMMA-FUNCTION

  • Elliptic gamma function
  • Mathematic function

    mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely

    Elliptic gamma function

    Elliptic_gamma_function

  • Gamma function
  • Extension of the factorial function

    Cahen–Mellin integral Elliptic gamma function Lemniscate constant Pseudogamma function Hadamard's gamma function Inverse gamma function Lanczos approximation

    Gamma function

    Gamma function

    Gamma_function

  • Elliptic function
  • Class of periodic mathematical functions

    analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because

    Elliptic function

    Elliptic_function

  • Multiple gamma function
  • Generalization of the Euler gamma function and the Barnes G-function

    related to the q-gamma function, and triple gamma functions Γ 3 {\displaystyle \Gamma _{3}} are related to the elliptic gamma function. For ℜ a i > 0 {\displaystyle

    Multiple gamma function

    Multiple gamma function

    Multiple_gamma_function

  • Jacobi elliptic functions
  • Mathematical function

    In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as

    Jacobi elliptic functions

    Jacobi_elliptic_functions

  • Modular form
  • Analytic function on the upper half-plane with a certain behavior under the modular group

    {\displaystyle \gamma } , see e.g. "DLMF: §23.15 Definitions ‣ Modular Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions". dlmf.nist.gov

    Modular form

    Modular_form

  • Theta function
  • Special functions of several complex variables

    properties of elliptic curves?" and others, including abelian varieties, moduli spaces, quadratic forms, and solitons. Theta functions in two dimensions

    Theta function

    Theta function

    Theta_function

  • Elliptic integral
  • Special function defined by an integral

    In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied

    Elliptic integral

    Elliptic_integral

  • List of mathematical functions
  • function, Polygamma function Incomplete beta function Incomplete gamma function K-function Multivariate gamma function: A generalization of the Gamma

    List of mathematical functions

    List_of_mathematical_functions

  • List of q-analogs
  • hypergeometric series Elliptic gamma function Hahn–Exton q-Bessel function Jackson q-Bessel function q-exponential q-gamma function q-theta function Lists of mathematics

    List of q-analogs

    List_of_q-analogs

  • Lemniscate elliptic functions
  • Mathematical functions

    In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied

    Lemniscate elliptic functions

    Lemniscate elliptic functions

    Lemniscate_elliptic_functions

  • Dedekind eta function
  • Mathematical function

    forms. In particular the modular discriminant of the Weierstrass elliptic function with ω 2 = τ ω 1 {\displaystyle \omega _{2}=\tau \omega _{1}} can

    Dedekind eta function

    Dedekind_eta_function

  • L-function
  • Meromorphic function on the complex plane

    {s+\kappa _{j}}{2}}\right)} where Γ {\displaystyle \textstyle \Gamma } denotes the gamma function, π {\displaystyle \textstyle \pi } denotes the automorphic

    L-function

    L-function

    L-function

  • Dixon elliptic functions
  • In mathematics, the Dixon elliptic functions sm and cm are two elliptic functions (doubly periodic meromorphic functions on the complex plane) that map

    Dixon elliptic functions

    Dixon elliptic functions

    Dixon_elliptic_functions

  • Hypergeometric function
  • Function defined by a hypergeometric series

    non-negative integer, one has 2F1(z) → ∞. Dividing by the value Γ(c) of the gamma function, we have the limit: lim c → − m 2 F 1 ( a , b ; c ; z ) Γ ( c ) = (

    Hypergeometric function

    Hypergeometric function

    Hypergeometric_function

  • Sine and cosine
  • Fundamental trigonometric functions

    elliptic functions Euler's formula Generalized trigonometry Hyperbolic function Lemniscate elliptic functions Law of sines List of periodic functions

    Sine and cosine

    Sine and cosine

    Sine_and_cosine

  • Particular values of the gamma function
  • Mathematical constants

    The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer, half-integer, and

    Particular values of the gamma function

    Particular_values_of_the_gamma_function

  • J-invariant
  • Modular function in mathematics

    the elliptic curve y 2 = 4 x 3 − g 2 ( τ ) x − g 3 ( τ ) {\displaystyle y^{2}=4x^{3}-g_{2}(\tau )x-g_{3}(\tau )} (see Weierstrass elliptic functions). Note

    J-invariant

    J-invariant

    J-invariant

  • Elliptic curve
  • Algebraic curve in mathematics

    mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined

    Elliptic curve

    Elliptic curve

    Elliptic_curve

  • Elementary function
  • Type of mathematical function

    most special functions are not elementary. Non-elementary functions include: the gamma function non-elementary Liouvillian functions, including the

    Elementary function

    Elementary_function

  • Picard–Fuchs equation
  • Mathematical equation

    It has two linearly independent solutions, called the periods of elliptic functions. The ratio of the two periods is equal to the period ratio τ, the

    Picard–Fuchs equation

    Picard–Fuchs_equation

  • Giovanni Felder
  • Swiss physicist and mathematician

    mechanics and resulting special functions (such as the elliptic gamma function, elliptic quantum groups, and elliptic Macdonald polynomials). With Alberto

    Giovanni Felder

    Giovanni Felder

    Giovanni_Felder

  • Laplace operator
  • Differential operator in mathematics

    an elliptic operator called the Laplace–Beltrami operator defined on a Riemannian manifold. The Laplace–Beltrami operator, when applied to a function, is

    Laplace operator

    Laplace_operator

  • Complex torus
  • Kind of complex manifold

    Poincare bundle Complex Lie group Automorphic function Intermediate Jacobian Elliptic gamma function Mumford, David (2008). Abelian varieties. C. P.

    Complex torus

    Complex torus

    Complex_torus

  • Q-Pochhammer symbol
  • Concept in combinatorics (part of mathematics)

    hypergeometric series Elliptic gamma function Jacobi theta function Lambert series Pentagonal number theorem q-derivative q-theta function q-Vandermonde identity

    Q-Pochhammer symbol

    Q-Pochhammer_symbol

  • Modular lambda function
  • Symmetric holomorphic function

    ^{*}(x))} (the complete elliptic integral of the second kind) can be expressed in closed form in terms of the gamma function for any x ∈ Q + {\displaystyle

    Modular lambda function

    Modular lambda function

    Modular_lambda_function

  • Transcendental function
  • Analytic function that does not satisfy a polynomial equation

    hyperbolic functions, and the inverses of all of these. Less familiar are the special functions of analysis, such as the gamma, elliptic, and zeta functions, all

    Transcendental function

    Transcendental_function

  • Heun function
  • Function for Heun's differential equation

    In mathematics, the local Heun function H ℓ ( a , q ; α , β , γ , δ ; z ) {\displaystyle H\ell (a,q;\alpha ,\beta ,\gamma ,\delta ;z)} is the solution of

    Heun function

    Heun_function

  • Ramanujan theta function
  • Mathematical function

    particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In

    Ramanujan theta function

    Ramanujan_theta_function

  • Mathieu function
  • Special function occurring in problems possessing elliptic symmetry

    equation (PDE) boundary value problems possessing elliptic symmetry. In some usages, Mathieu function refers to solutions of the Mathieu differential equation

    Mathieu function

    Mathieu_function

  • Gamma-ray burst
  • Flash of gamma rays from a distant galaxy

    In gamma-ray astronomy, gamma-ray bursts (GRBs) are extremely energetic events occurring in distant galaxies which represent the brightest and most powerful

    Gamma-ray burst

    Gamma-ray burst

    Gamma-ray_burst

  • Generalized hypergeometric function
  • Family of power series in mathematics

    (a+n-1)={\frac {\Gamma (a+n)}{\Gamma (a)}},&&n\geq 1,\end{aligned}}} where Γ ( x ) {\displaystyle \Gamma (x)} represents the gamma function. The series can

    Generalized hypergeometric function

    Generalized hypergeometric function

    Generalized_hypergeometric_function

  • Elliptic operator
  • Type of differential operator

    smooth functions (if the coefficients in the operator are smooth). Steady-state solutions to hyperbolic and parabolic equations generally solve elliptic equations

    Elliptic operator

    Elliptic operator

    Elliptic_operator

  • Elliptic surface
  • Mathematical concept

    {\displaystyle \Gamma } , as listed here.) Knowing the group structure of the singular fibers is useful for computing the Mordell-Weil group of an elliptic fibration

    Elliptic surface

    Elliptic_surface

  • Real analytic Eisenstein series
  • Special function of two variables

    analogue of a classical elliptic modular function. Note that E ( z , s ) {\displaystyle E(z,s)} is not a square-integrable function of z {\displaystyle z}

    Real analytic Eisenstein series

    Real_analytic_Eisenstein_series

  • Divisor function
  • Arithmetic function related to the divisors of an integer

    series of the Eisenstein series and the invariants of the Weierstrass elliptic functions. For k > 0 {\displaystyle k>0} , there is an explicit series representation

    Divisor function

    Divisor function

    Divisor_function

  • Laplace operators in differential geometry
  • Elliptic differential operators in geometry mathematics

    In differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides

    Laplace operators in differential geometry

    Laplace_operators_in_differential_geometry

  • Möbius transformation
  • Rational function of the form (az + b)/(cz + d)

    {\mathfrak {H}}(k;\gamma _{1},\gamma _{2})={\begin{pmatrix}\gamma _{1}-k\gamma _{2}&(k-1)\gamma _{1}\gamma _{2}\\1-k&k\gamma _{1}-\gamma _{2}\end{pmatrix}}}

    Möbius transformation

    Möbius_transformation

  • Morse theory
  • Analyzes the topology of a manifold by studying differentiable functions on that manifold

    function on M {\displaystyle M} and p {\displaystyle p} is a non-degenerate critical point of f {\displaystyle f} of index γ , {\displaystyle \gamma

    Morse theory

    Morse_theory

  • Q-gamma function
  • Function in q-analog theory

    {\displaystyle q} -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related to the double gamma function. It was

    Q-gamma function

    Q-gamma_function

  • Zeta function regularization
  • Summability method in physics

    to elliptic pseudo-differential operators A on compact Riemannian manifolds. So for such operators one can define the determinant using zeta function regularization

    Zeta function regularization

    Zeta_function_regularization

  • Automorphic form
  • Type of generalization of periodic functions in Euclidean space

    < G {\displaystyle \Gamma <G} of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to

    Automorphic form

    Automorphic_form

  • Basic hypergeometric series
  • Q-analog of hypergeometric series

    generalized by elliptic hypergeometric series. A series xn is called hypergeometric if the ratio of successive terms xn+1/xn is a rational function of n. If

    Basic hypergeometric series

    Basic_hypergeometric_series

  • Student's t-distribution
  • Probability distribution

    is the number of degrees of freedom, and Γ {\displaystyle \Gamma } is the gamma function. This may also be written as f ( t ) = 1 ν B ( 1 2 , ν 2 ) (

    Student's t-distribution

    Student's t-distribution

    Student's_t-distribution

  • Modular group
  • Orientation-preserving mapping class group of the torus

    in GL(2, Z). It is for this reason that doubly periodic functions, such as elliptic functions, possess a modular group symmetry. The action of the modular

    Modular group

    Modular group

    Modular_group

  • Naor–Reingold pseudorandom function
  • disastrous consequences for applications of this function. The elliptic curve version of this function is of interest as well. In particular, it may help

    Naor–Reingold pseudorandom function

    Naor–Reingold_pseudorandom_function

  • Beta distribution
  • Probability distribution

    -1}\end{aligned}}} where Γ ( z ) {\displaystyle \Gamma (z)} is the gamma function. The beta function, B {\displaystyle \mathrm {B} } , is a normalization

    Beta distribution

    Beta distribution

    Beta_distribution

  • Pi
  • Number, approximately 3.14

    \Gamma (n)=(n-1)!} . When the gamma function is evaluated at half-integers, the result contains π. For example, Γ ( 1 2 ) = π {\displaystyle \Gamma {\bigl

    Pi

    Pi

  • Butterworth filter
  • Type of signal processing filter

    in the passband than Chebyshev Type I/Type II and elliptic filters can achieve. A transfer function of a third-order low-pass Butterworth filter design

    Butterworth filter

    Butterworth filter

    Butterworth_filter

  • Lemniscate constant
  • Ratio of the perimeter of Bernoulli's lemniscate to its diameter

    the lemniscate elliptic functions and is approximately equal to 2.62205755. It also appears in evaluation of the gamma and beta function at certain rational

    Lemniscate constant

    Lemniscate constant

    Lemniscate_constant

  • Curve
  • Mathematical idealization of the trace left by a moving point

    {\displaystyle \gamma :[a,b]\to \mathbb {R} ^{n}} is an injective and continuously differentiable function, then the length of γ {\displaystyle \gamma } is defined

    Curve

    Curve

    Curve

  • Lemniscate of Bernoulli
  • Plane algebraic curve

    the lemniscate leads to elliptic integrals, as was discovered in the eighteenth century. Around 1800, the elliptic functions inverting those integrals

    Lemniscate of Bernoulli

    Lemniscate of Bernoulli

    Lemniscate_of_Bernoulli

  • Arc length
  • Distance along a curve

    \gamma (t)=[\gamma ^{1}(t),\dots ,\gamma ^{n}(t)],\quad t\in [0,1]} and γ ( 0 ) = x , γ ( 1 ) = y {\displaystyle \gamma (0)=\mathbf {x} ,\,\,\gamma (1)=\mathbf

    Arc length

    Arc length

    Arc_length

  • List of complex analysis topics
  • Exponential function Beta function Gamma function Riemann zeta function Riemann hypothesis Generalized Riemann hypothesis Elliptic function Half-period

    List of complex analysis topics

    List_of_complex_analysis_topics

  • Newtonian potential
  • Green's function for Laplacian

    defined by convolution with a function having a mathematical singularity at the origin, the Newtonian kernel Γ {\displaystyle \Gamma } which is the fundamental

    Newtonian potential

    Newtonian_potential

  • Equianharmonic
  • In mathematics, and in particular the study of Weierstrass elliptic functions, the equianharmonic case occurs when the Weierstrass invariants satisfy g2 = 0

    Equianharmonic

    Equianharmonic

  • Implicit certificate
  • {\displaystyle {\textrm {Decode}}_{\gamma }(\cdot )} which extracts the γ {\displaystyle \gamma } value from an encoding. A hash function H n ( ⋅ ) {\displaystyle

    Implicit certificate

    Implicit_certificate

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    (n)}}<e^{\gamma }\log \log n+{\frac {e^{\gamma }(4+\gamma -\log 4\pi )}{\sqrt {\log n}}}} is true for all n ≥ 120569#, where φ(n) is Euler's totient function and

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Siegel modular form
  • Major type of automorphic form in mathematics

    automorphic form. These generalize conventional elliptic modular forms which are closely related to elliptic curves. The complex manifolds constructed in

    Siegel modular form

    Siegel_modular_form

  • Gaussian function
  • Mathematical function

    dy=2\pi A\sigma _{X}\sigma _{Y}.} In general, a two-dimensional elliptical Gaussian function is expressed as f ( x , y ) = A exp ⁡ ( − ( a ( x − x 0 ) 2 +

    Gaussian function

    Gaussian_function

  • Moduli stack of elliptic curves
  • Algebraic stack in mathematics

    In mathematics, the moduli stack of elliptic curves, denoted as M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} or M e l l {\displaystyle {\mathcal {M}}_{\mathrm

    Moduli stack of elliptic curves

    Moduli_stack_of_elliptic_curves

  • Special functions
  • Mathematical functions having established names and notations

    nineteenth century. The high point of special function theory in 1800–1900 was the theory of elliptic functions; treatises that were essentially complete

    Special functions

    Special_functions

  • Laplace's equation
  • Second-order partial differential equation

    Laplace's equation and Poisson's equation are the simplest examples of elliptic partial differential equations. Laplace's equation is also a special case

    Laplace's equation

    Laplace's equation

    Laplace's_equation

  • Schwarz triangle function
  • Conformal mappings in complex analysis

    (1-a')\Gamma (b)\Gamma (c')}{\Gamma (1-a)\Gamma (b')\Gamma (c)}},\end{aligned}}} where Γ ( x ) {\textstyle \Gamma (x)} is the gamma function. Near each

    Schwarz triangle function

    Schwarz triangle function

    Schwarz_triangle_function

  • Likelihood function
  • Function related to statistics and probability theory

    derivatives of the sufficient statistic T and the log-partition function A. The gamma distribution is an exponential family with two parameters, α {\textstyle

    Likelihood function

    Likelihood_function

  • Sobolev inequality
  • Theorem about inclusions between Sobolev spaces

    W^{k,p}(\mathbf {R} ^{n})\subset C^{r,\gamma }(\mathbf {R} ^{n})} for every γ ∈ ( 0 , 1 ) {\displaystyle \gamma \in (0,1)} . In particular, as long as

    Sobolev inequality

    Sobolev_inequality

  • Differential forms on a Riemann surface
  • Conformal structure admits a Hodge dual of 1-forms without even specifying a metric

    ISBN 978-1-4398-3160-1 Siegel, C. L. (1988), Topics in complex function theory. Vol. I. Elliptic functions and uniformization theory, translated by A. Shenitzer;

    Differential forms on a Riemann surface

    Differential_forms_on_a_Riemann_surface

  • Catalan's constant
  • Number, approximately 0.916

    Malmsten's integrals. If K(k) is the complete elliptic integral of the first kind, as a function of the elliptic modulus k, then[citation needed] G = 1 2 ∫

    Catalan's constant

    Catalan's constant

    Catalan's_constant

  • Painlevé transcendents
  • Special functions in mathematics

    differential equations. One of the most useful classes of special functions are the elliptic functions. They are defined by second-order ordinary differential equations

    Painlevé transcendents

    Painlevé_transcendents

  • Elliptical distribution
  • Family of distributions that generalize the multivariate normal distribution

    multivariate-statistical procedures. Elliptical distributions are defined in terms of the characteristic function of probability theory. A random vector

    Elliptical distribution

    Elliptical_distribution

  • Schwarzschild geodesics
  • Paths of particles in the Schwarzschild solution to Einstein's field equations

    particle in the Schwarzschild metric can be expressed in terms of elliptic functions. Samuil Kaplan in 1949 has shown that there is a minimum radius for

    Schwarzschild geodesics

    Schwarzschild_geodesics

  • Greek letters used in mathematics, science, and engineering
  • Symbols for constants, special functions

    relational algebra the Pi function, i.e. the Gamma function when offset to coincide with the factorial the complete elliptic integral of the third kind

    Greek letters used in mathematics, science, and engineering

    Greek_letters_used_in_mathematics,_science,_and_engineering

  • Dirichlet problem
  • Problem of solving a partial differential equation subject to prescribed boundary values

    Green's function in two dimensions: G ( z , x ) = − 1 2 π log ⁡ | z − x | + γ ( z , x ) , {\displaystyle G(z,x)=-{\frac {1}{2\pi }}\log |z-x|+\gamma (z,x)

    Dirichlet problem

    Dirichlet_problem

  • Ramanujan tau function
  • Function studied by Ramanujan

    In mathematics, the Ramanujan tau function, studied by Srinivasa Ramanujan, is the function τ : N → Z {\displaystyle \tau :\mathbb {N} \to \mathbb {Z}

    Ramanujan tau function

    Ramanujan tau function

    Ramanujan_tau_function

  • Propagator
  • Function in quantum field theory showing probability amplitudes of moving particles

    often called (causal) Green's functions (called "causal" to distinguish it from the elliptic Laplacian Green's function). In non-relativistic quantum

    Propagator

    Propagator

    Propagator

  • Sérsic profile
  • Mathematical function

    {\textstyle \gamma (2n;b_{n})={\frac {1}{2}}\Gamma (2n)} , where Γ {\displaystyle \Gamma } and γ {\displaystyle \gamma } are respectively the Gamma function and

    Sérsic profile

    Sérsic profile

    Sérsic_profile

  • Srinivasa Ramanujan
  • Indian mathematician (1887–1920)

    (\theta )|<\pi } , where Γ(z) is the gamma function, and related to a special value of the Dedekind eta function. Expanding into series of powers and

    Srinivasa Ramanujan

    Srinivasa Ramanujan

    Srinivasa_Ramanujan

  • Lambert's problem
  • Problem in celestial mechanics

    hyperbolic and elliptic cases of the Lambert Problem. THORNE, JAMES (1990-08-17). "Series reversion/inversion of Lambert's time function". Astrodynamics

    Lambert's problem

    Lambert's_problem

  • Hölder condition
  • Type of continuity of a complex-valued function

    In mathematics, we say that a function satisfies a Hölder condition, or is α {\displaystyle \alpha } -Hölder continuous or simply Hölder continuous, if

    Hölder condition

    Hölder_condition

  • Bring radical
  • Real root of the polynomial x^5+x+a

    developed, the first of which is in terms of "elliptic transcendents" (related to elliptic and modular functions) by Charles Hermite in 1858, and further methods

    Bring radical

    Bring radical

    Bring_radical

  • Generalized linear model
  • Class of statistical models

    canonical link functions and their inverses (sometimes referred to as the mean function, as done here). In the cases of the exponential and gamma distributions

    Generalized linear model

    Generalized_linear_model

  • Theta representation
  • under Γ τ {\displaystyle \Gamma _{\tau }} . It can be shown that the Jacobi theta function is the unique such entire function, up to scalar multiple. Thus

    Theta representation

    Theta_representation

  • Modular curve
  • Algebraic variety

    "best models" can be very different from those taken directly from elliptic function theory. Hecke operators may be studied geometrically, as correspondences

    Modular curve

    Modular_curve

  • Walk-on-spheres method
  • Mathematical algorithm

    sufficiently regular boundary Γ {\displaystyle \Gamma } , let h be a function on Γ {\displaystyle \Gamma } , and let x {\displaystyle x} be a point inside

    Walk-on-spheres method

    Walk-on-spheres_method

  • Hodge theory
  • Mathematical manifold theory

    ( E N ) → 0 {\displaystyle 0\to \Gamma (E_{0})\to \Gamma (E_{1})\to \cdots \to \Gamma (E_{N})\to 0} is an elliptic complex. Introduce the direct sums:

    Hodge theory

    Hodge_theory

  • Hierarchical matrix
  • Approximation method

    equations, or solving elliptic partial differential equations, a rank proportional to log ⁡ ( 1 / ϵ ) γ {\displaystyle \log(1/\epsilon )^{\gamma }} with a small

    Hierarchical matrix

    Hierarchical_matrix

  • Generalized Riemann hypothesis
  • Mathematical conjecture about zeros of L-functions

    proven occur in the algebraic function field case (not the number field case). Global L-functions can be associated to elliptic curves, number fields (in

    Generalized Riemann hypothesis

    Generalized_Riemann_hypothesis

  • Central binomial coefficient
  • Sequence of numbers ((2n) choose (n))

    {\displaystyle \Gamma (x)} is the gamma function and B ( x , y ) {\displaystyle \mathrm {B} (x,y)} is the beta function. The powers of two that divide the

    Central binomial coefficient

    Central binomial coefficient

    Central_binomial_coefficient

  • Kansa method
  • Computational method for solving partial differential equations

    \quad \gamma =\gamma _{k}(X_{i}).\qquad (7)} After expansion coefficients α i {\displaystyle \alpha _{i}} are evaluated, the desired function can be calculated

    Kansa method

    Kansa_method

  • Height function
  • Mathematical functions that quantify complexity

    Swinnerton-Dyer conjecture Elliptic Lehmer conjecture Heath-Brown–Moroz constant Height of a formal group law Height zeta function Raynaud's isogeny theorem

    Height function

    Height_function

  • Kronecker limit formula
  • Mathematical theorem about the real analytic Eisenstein series

    _{n\geq 1}(1-q^{n}p)(1-q^{n}/p).} Herglotz–Zagier function Serge Lang, Elliptic functions, ISBN 0-387-96508-4 C. L. Siegel, Lectures on advanced

    Kronecker limit formula

    Kronecker_limit_formula

  • Lists of integrals
  • \Gamma (z)} is the Gamma function) ∫ 0 1 ( ln ⁡ 1 x ) p d x = Γ ( p + 1 ) {\displaystyle \int _{0}^{1}\left(\ln {\frac {1}{x}}\right)^{p}\,dx=\Gamma (p+1)}

    Lists of integrals

    Lists_of_integrals

  • Nonelementary integral
  • Integrals not expressible in closed-form from elementary functions

    {1-x^{4}}}} (elliptic integral) 1 ln ⁡ x {\displaystyle {\frac {1}{\ln x}}} (logarithmic integral) e − x 2 {\displaystyle e^{-x^{2}}} (error function, Gaussian

    Nonelementary integral

    Nonelementary_integral

  • Mixed boundary condition
  • Mathematical problem

    u\right|_{\Gamma _{1}}=u_{0}}           and           ∂ u ∂ n | Γ 2 = g , {\displaystyle \left.{\frac {\partial u}{\partial n}}\right|_{\Gamma _{2}}=g,}

    Mixed boundary condition

    Mixed boundary condition

    Mixed_boundary_condition

  • Ahlfors theory
  • Mathematical theory

    f(z) = ℘(Kz), where K > 0 is arbitrarily large, and ℘ is the Weierstrass elliptic function satisfying the differential equation ( ℘ ′ ) 2 = 4 ( ℘ − e 1 ) ( ℘

    Ahlfors theory

    Ahlfors_theory

  • Normal distribution
  • Probability distribution

    real-valued random variable. The general form of its probability density function is f ( x ) = 1 2 π σ 2 exp ⁡ ( − ( x − μ ) 2 2 σ 2 ) . {\displaystyle f(x)={\frac

    Normal distribution

    Normal distribution

    Normal_distribution

  • Hecke operator
  • Linear operator acting on modular forms

    are called "Hecke algebras", and are commutative rings. In the classical elliptic modular form theory, the Hecke operators T n {\textstyle T_{n}} with n

    Hecke operator

    Hecke_operator

  • Multivariate t-distribution
  • Multivariable generalization of the Student's t-distribution

    variables. This is the basic idea of elliptical distribution theory, where one writes down a corresponding function of p {\displaystyle p} variables t i

    Multivariate t-distribution

    Multivariate_t-distribution

  • List of mathematical series
  • Riemann zeta function. Γ ( z ) {\displaystyle \Gamma (z)} is the gamma function. ψ n ( z ) {\displaystyle \psi _{n}(z)} is a polygamma function. Li s ⁡ (

    List of mathematical series

    List_of_mathematical_series

  • Gaussian beam
  • Monochrome light beam whose amplitude envelope is a Gaussian function

    {p}}\geq -|m|} is real-valued, Γ(x) is the gamma function and 1F1(a, b; x) is a confluent hypergeometric function. Some subfamilies of hypergeometric-Gaussian

    Gaussian beam

    Gaussian beam

    Gaussian_beam

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  • Vickers
  • Surname or Lastname

    English

    Vickers

    English : patronymic for the son of a vicar or, perhaps in most cases, an occupational name for the servant of a vicar (see Vicker). In many cases it may represent an elliptical form of a topographic name. Compare Parsons.

    Vickers

  • Amma
  • Girl/Female

    Norse

    Amma

    Grandmother.

    Amma

  • Tamma
  • Girl/Female

    Australian, French, Hebrew

    Tamma

    Without Flaw; Palm Tree; Perfect

    Tamma

  • Gammon
  • Surname or Lastname

    English

    Gammon

    English : variant of Game.English : from Anglo-Norman French gambon ‘ham’, a diminutive of gambe, Norman-Picard form of Old French jambe ‘leg’ (Late Latin gamba), hence probably a nickname for someone with some peculiarity of the legs or gait.

    Gammon

  • Farqadin
  • Boy/Male

    Arabic

    Farqadin

    Two Bright Stars Near the Pole; Beta and Gama in Ursa Minor

    Farqadin

  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.

    Jenner

  • Douthit
  • Surname or Lastname

    English

    Douthit

    English : variant of Douthwaite, a habitational name from Dowthwaite in Cumbria or Dowthwaite Hall in North Yorkshire. The first is from the Old Norse personal name Dúfa + Old Norse þveit ‘clearing’; the second is from the Old Irish personal name Dubhan + Old Norse þveit. The elliptic form of the surname probably reflects the local pronunciation of the place names.

    Douthit

  • Tamma
  • Girl/Female

    Hebrew

    Tamma

    Without flaw.

    Tamma

  • JEMMA
  • Female

    English

    JEMMA

    Variant spelling of Italian Gemma, JEMMA means "precious stone."

    JEMMA

  • Gamya | கம்யா
  • Girl/Female

    Tamil

    Gamya | கம்யா

    Beautiful, A destiny

    Gamya | கம்யா

  • Gamya
  • Girl/Female

    Hindu, Indian, Kannada, Telugu

    Gamya

    Beautiful; A Destiny

    Gamya

  • Amma
  • Boy/Male

    Indian

    Amma

    Supreme god.

    Amma

  • Kamma
  • Girl/Female

    Danish, Indian, Latin, Sanskrit, Swedish

    Kamma

    Loveable; Desire

    Kamma

  • Samma
  • Girl/Female

    Arabic, Indian, Kashmiri

    Samma

    Beautiful Sky

    Samma

  • Gemma
  • Girl/Female

    French Latin Italian

    Gemma

    Jewel.

    Gemma

  • Gemma
  • Girl/Female

    African, American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Irish, Italian, Jamaican, Latin

    Gemma

    Jewel; Precious Stone; Gem

    Gemma

  • Amma
  • Boy/Male

    African, British, English, Indian

    Amma

    Mother; God-like

    Amma

  • GEMMA
  • Female

    English

    GEMMA

    Italian name GEMMA means "precious stone."

    GEMMA

  • Damma
  • Girl/Female

    Gujarati, Hindu, Indian

    Damma

    The Soothing Voice

    Damma

  • Mammen
  • Surname or Lastname

    German

    Mammen

    German : East Frisian patronymic from the nursery name Mamme, linked to Middle High German mamme, memme ‘mother’s breast’ (Latin mamma).English (of Norman origin) : from the Old French personal name Maismon, Maimon, of unknown etymology.Indian (Kerala) : variant of Thomas among Kerala Christians, with the Tamil-Malayalam third person masculine singular suffix -n. It is only found as a personal name in Kerala, but in the U.S. has come to be used as a family name among Kerala Christians.

    Mammen

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Online names & meanings

  • Austyn
  • Boy/Male

    American, Australian, British, Chinese, English, French, German, Latin

    Austyn

    Majestic; Variant of Augustine

  • Forhana
  • Girl/Female

    Indian

    Forhana

    Happy, Ecstatic

  • Pany
  • Boy/Male

    Welsh

    Pany

    Son of Harry.

  • Jinks
  • Surname or Lastname

    English

    Jinks

    English : variant of Jenks.

  • Jas | ஜஸ
  • Boy/Male

    Tamil

    Jas | ஜஸ

    God is gracious, Kirti, Good wishes

  • Henna
  • Boy/Male

    Arabic, Muslim

    Henna

    Blessed

  • Tikshitha
  • Girl/Female

    Hindu

    Tikshitha

  • TajammulHusain
  • Boy/Male

    Arabic, Muslim

    TajammulHusain

    Adornment of Hussain

  • Jilan |
  • Girl/Female

    Muslim

    Jilan |

    It is a city in iran, Courtier

  • Bixby
  • Surname or Lastname

    English

    Bixby

    English : habitational name from a lost or unidentified place, probably somewhere in East Anglia, where the name is most frequent.

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Other words and meanings similar to

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AI search in online dictionary sources & meanings containing ELLIPTIC GAMMA-FUNCTION

ELLIPTIC GAMMA-FUNCTION

  • Gemmae
  • pl.

    of Gemma

  • Gamba
  • n.

    A viola da gamba.

  • Ellipses
  • pl.

    of Ellipsis

  • Ecliptic
  • a.

    Pertaining to the ecliptic; as, the ecliptic way.

  • Oval
  • a.

    Broadly elliptical.

  • Elliptical
  • a.

    Having a part omitted; as, an elliptical phrase.

  • Mammae
  • pl.

    of Mamma

  • Gamma
  • n.

    The third letter (/, / = Eng. G) of the Greek alphabet.

  • Ellipse
  • n.

    Omission. See Ellipsis.

  • Ecliptic
  • a.

    Pertaining to an eclipse or to eclipses.

  • Mellic
  • a.

    See Mellitic.

  • Elliptic-lanceolate
  • a.

    Having a form intermediate between elliptic and lanceolate.

  • Mammy
  • n.

    A child's name for mamma, mother.

  • Gummata
  • pl.

    of Gumma

  • Mama
  • n.

    See Mamma.

  • Mellitic
  • a.

    Containing saccharine matter; marked by saccharine secretions; as, mellitic diabetes.

  • Mam
  • n.

    Mamma.

  • Elliptic
  • a.

    Alt. of Elliptical

  • Gummous
  • a.

    Of or pertaining to a gumma.

  • Gummatous
  • a.

    Belonging to, or resembling, gumma.