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Multivariate generalization of the gamma function
In mathematics, the multivariate gamma function Γp is a generalization of the gamma function. It is useful in multivariate statistics, appearing in the
Multivariate_gamma_function
Extension of the factorial function
approximation Multiple gamma function Multivariate gamma function p-adic gamma function Pochhammer k-symbol Polygamma function q-gamma function Ramanujan's master
Gamma_function
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
Mathematical function
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z )
Digamma_function
Generalization of gamma distribution to multiple dimensions
and Γp is the multivariate gamma function defined as Γ p ( n 2 ) = π p ( p − 1 ) / 4 ∏ j = 1 p Γ ( n 2 − j − 1 2 ) . {\displaystyle \Gamma _{p}\left({\frac
Wishart_distribution
Mathematical function
the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial
Beta_function
Product of consecutive factorial numbers
continuously interpolated by the gamma function, the superfactorials can be continuously interpolated by the Barnes G-function as s f ( n ) = G ( n + 2 ) {\displaystyle
Superfactorial
Number computed as a product of powers
continuously interpolated by the gamma function, the hyperfactorials can be continuously interpolated by the K-function as K ( n + 1 ) = H ( n ) {\displaystyle
Hyperfactorial
Fourier transform of the probability density function
addition to univariate distributions, characteristic functions can be defined for multivariate probability distributions of vector- or matrix-valued
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Two-parameter family of continuous probability distributions
scaled inverse chi-squared distribution. The inverse gamma distribution's probability density function is defined over the support x > 0 {\displaystyle x>0}
Inverse-gamma_distribution
Probability distribution
function of a multivariate Cauchy distribution is given by: φ X ( t ) = e i x 0 ( t ) − γ ( t ) , {\displaystyle \varphi _{X}(t)=e^{ix_{0}(t)-\gamma (t)}
Cauchy_distribution
Probability distribution
{(k+r-1)(k+r-2)\dotsm (r)}{k!}}={\frac {\Gamma (k+r)}{k!\ \Gamma (r)}}=\left(\!\!{r \choose k}\!\!\right).} Note that Γ(r) is the Gamma function, and ( ( r k ) ) {\displaystyle
Negative binomial distribution
Negative_binomial_distribution
Mathematical functions having established names and notations
to Atle Selberg, the multivariate gamma function, and types of Bessel functions. The NIST Digital Library of Mathematical Functions has a section covering
Special_functions
Type of permutation of a set of elements
Dn=Γ(n+1,−1)e=∫0∞(x−1)ne−xdx where Γ(s, x) is the upper incomplete gamma function. It is NP-complete to determine whether a given permutation group (described
Derangement
Generalization of beta distribution
is the multivariate beta function: β p ( a , b ) = Γ p ( a ) Γ p ( b ) Γ p ( a + b ) {\displaystyle \beta _{p}\left(a,b\right)={\frac {\Gamma _{p}\left(a\right)\Gamma
Matrix variate beta distribution
Matrix_variate_beta_distribution
Family of multivariate continuous probability distributions
statistics, the normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate continuous probability distributions
Normal-inverse-gamma distribution
Normal-inverse-gamma_distribution
Formal power series
generating function in several variables can be generalized to arrays with multiple indices. These non-polynomial double sum examples are called multivariate generating
Generating_function
theorem Multiplicities of entries in Pascal's triangle Multiset Multivariate gamma function Narayana numbers Negative binomial distribution Nörlund–Rice
List of factorial and binomial topics
List_of_factorial_and_binomial_topics
Multifractal function used in terrain modeling and simulation
"Weierstrass Function". MathWorld. Multifractal terrain generation paper on arXiv Fractal terrain for vehicle simulation Multivariate W-M function on ResearchGate
Weierstrass–Mandelbrot function
Weierstrass–Mandelbrot_function
Complex-differentiable (mathematical) function
{\displaystyle U} . Osgood's lemma shows (using the multivariate Cauchy integral formula) that, for a continuous function f {\displaystyle f} , this is equivalent
Holomorphic_function
Probability distribution
moment-generating function is MX(t)=𝔼[etX]=(1−p+pet)n. Usually the mode of a binomial B(n, p) distribution is equal to ⌊(n+1)p⌋, where ⌊⋅⌋ is the floor function. However
Binomial_distribution
Triangular array of the binomial coefficients
convolving the distribution function for a random variable with itself corresponds to calculating the distribution function for a sum of n independent
Pascal's_triangle
Probability distribution
{\displaystyle y_{i}} for all y i {\displaystyle y_{i}} . The multivariate generalized gamma (MGG) pdf can be derived from the MGB pdf by substituting b
Generalized_beta_distribution
probability theory and statistics, the generalized multivariate log-gamma (G-MVLG) distribution is a multivariate distribution introduced by Demirhan and Hamurkaroglu
Generalized multivariate log-gamma distribution
Generalized_multivariate_log-gamma_distribution
Algebraic expansion of powers of a binomial
{n}{k}}={\frac {n!}{k!\;(n-k)!}},} which is defined in terms of the factorial function n!. Equivalently, this formula can be written ( n k ) = n ( n − 1 ) ⋯ (
Binomial_theorem
Multivariable generalization of the Student's t-distribution
In statistics, the multivariate t-distribution (or multivariate Student distribution) is a multivariate probability distribution. It is a generalization
Multivariate_t-distribution
Mathematical theorem on convolved binomial coefficients
b;c;1)=Γ(c)Γ(c−a−b)Γ(c−a)Γ(c−b) where 2F1 is the hypergeometric function and Γ(n+1)=n! is the gamma function. One regains the Chu–Vandermonde identity by taking a = −n
Vandermonde's_identity
Probability distribution
{\gamma (\alpha ,\beta x)}{\Gamma (\alpha )}},} where γ ( α , β x ) {\displaystyle \gamma (\alpha ,\beta x)} is the lower incomplete gamma function. If
Gamma_distribution
Concept in probability theory
terms of its characteristic function. The multivariate stable distribution can also be thought as an extension of the multivariate normal distribution. It
Multivariate stable distribution
Multivariate_stable_distribution
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
Formula in mathematics
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Trinomial_expansion
Number of subsets of a given size
generalized to two real or complex valued arguments using the gamma function or beta function via ( x y ) = Γ ( x + 1 ) Γ ( y + 1 ) Γ ( x − y + 1 ) = 1 (
Binomial_coefficient
Special mathematical function defined as sin(x)/x
}\left(1-{\frac {x^{2}}{n^{2}}}\right)} and is related to the gamma function Γ(x), as well as to Gauss' Pi function, through Euler's reflection formula: sin ( π x
Sinc_function
Multivariate continuous probability distribution
| {\displaystyle |\cdot |} is the determinant, Γp(⋅) is the multivariate gamma function, and I p {\displaystyle {\textbf {I}}_{p}} is the p × p identity
Matrix_F-distribution
Generalization of the mathematical factorial
mathematics, Bhargava's factorial function, or simply the Bhargava factorial, is a generalization of the factorial function developed by Manjul Bhargava as
Bhargava_factorial
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
Numerical method for calculating the gamma function
mathematics, the Lanczos approximation is a method for computing the gamma function numerically, published by Cornelius Lanczos in 1964. It is a practical
Lanczos_approximation
Theorem on prime numbers
have practical value. Wilson's theorem allows one to define the p-adic gamma function. Gauss proved that ∏ k = 1 gcd ( k , m ) = 1 m − 1 k ≡ { − 1 ( mod
Wilson's_theorem
Graphical aid for deriving some concepts in combinatorics
objects are not distinguished). This is represented by the generating function 1+1x+1x2+1x3+…=1+x+x2+x3+…=11−x. The series is a geometric series, and
Stars and bars (combinatorics)
Stars_and_bars_(combinatorics)
Statistics function
{\displaystyle \gamma >0} . As in the one dimensional case, there is no simple analytical formula for the Q-function. Nevertheless, the Q-function can be approximated
Q-function
Generalization of the one-dimensional normal distribution to higher dimensions
In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization
Multivariate normal distribution
Multivariate_normal_distribution
Arithmetical function
In number theory, the Kempner function S ( n ) {\displaystyle S(n)} is defined for a given positive integer n {\displaystyle n} to be the smallest number
Kempner_function
Concept in statistics
{\Sigma }}|^{-{\frac {p}{2}}}.} Here Γ p {\displaystyle \Gamma _{p}} is the multivariate gamma function. If X ∼ T n × p ( ν , M , Σ , Ω ) {\displaystyle \mathbf
Matrix_t-distribution
Recurrence relations of binomial coefficients in Pascal's triangle
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Hockey-stick_identity
Probability distribution
variance σ2, a combined (multivariate) conjugate prior is placed over the mean and variance, consisting of a normal-inverse-gamma distribution. Logically
Normal_distribution
Conjecture in combinatorial number theory
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Singmaster's_conjecture
Generalized chain rule in calculus
polynomial. In case g(x) is a cumulant-generating function, then f(g(x)) is a moment-generating function, and the polynomial in various derivatives of g
Faà_di_Bruno's_formula
Generalization of gamma distribution
similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution
Matrix_gamma_distribution
Continuous probability distribution
{\displaystyle \gamma _{2}={\frac {-6\Gamma _{1}^{4}+12\Gamma _{1}^{2}\Gamma _{2}-3\Gamma _{2}^{2}-4\Gamma _{1}\Gamma _{3}+\Gamma _{4}}{[\Gamma _{2}-\Gamma _{1}^{2}]^{2}}}}
Weibull_distribution
Probability distribution
similarly, e.g. as the conjugate prior of the covariance matrix of a multivariate normal distribution or matrix normal distribution. The compound distribution
Inverse matrix gamma distribution
Inverse_matrix_gamma_distribution
Type of polynomial sequence
where Γ(x) is the Gamma-function. There is a formula for the logarithm of binomial type sequence. Suppose the generating function of pn(x) is exφ(y)
Binomial_type
Concept in probability theory
respectively, or to the multivariate normal distribution and multivariate t-distribution in the multivariate cases. In terms of the inverse gamma, β {\displaystyle
Conjugate_prior
Tool in multivariate statistical analysis
a covariance function used in spatial statistics, geostatistics, machine learning, image analysis, and other applications of multivariate statistical analysis
Matérn_covariance_function
Mathematical series
to Euler's definition of the Gamma function: Γ ( z ) = lim k → ∞ k ! k z z ( z + 1 ) ⋯ ( z + k ) , {\displaystyle \Gamma (z)=\lim _{k\to \infty }{\frac
Binomial_series
Family of probability distributions related to the normal distribution
first need to expand the part of the log-partition function that involves the multivariate gamma function: log Γ p ( a ) = log ( π p ( p − 1 ) 4 ∏ j =
Exponential_family
Probability distribution
The normalizing constant is the multivariate beta function, which can be expressed in terms of the gamma function: B ( α ) = ∏ i = 1 K Γ ( α i ) Γ (
Dirichlet_distribution
)^{2}}}=\sum _{k=0}^{n}{n \choose 2k}{2k \choose k}.} Their generating function is 1 + x + 3 x 2 + 7 x 3 + 19 x 4 + … = 1 ( 1 + x ) ( 1 − 3 x ) . {\displaystyle
Trinomial_triangle
Upper bound on intersecting set families
through any single point. A signed set consists of a set together with sign function that maps each element to { 1 , − 1 } {\displaystyle \{1,-1\}} . Two signed
Erdős–Ko–Rado_theorem
Probability distribution and special case of gamma distribution
incomplete gamma function and P ( s , t ) {\textstyle P(s,t)} is the regularized gamma function. In a special case of k = 2 {\displaystyle k=2} this function has
Chi-squared_distribution
Matrix-variate probability distribution
n}}(X'dX)={\frac {2^{n}\pi ^{pn/2}}{\Gamma _{n}({\tfrac {1}{2}}p)}},} where Γ n {\displaystyle \Gamma _{n}} is the multivariate gamma function. The uniform distribution
Uniform distribution on a Stiefel manifold
Uniform_distribution_on_a_Stiefel_manifold
that the magnitude square functions of low-pass and high-pass binomial-QMF filters are the unique maximally flat functions in a two-band PR-QMF design
Binomial_QMF
Number theory expression
{n}{p^{i}}}\right\rfloor ,} where ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } is the floor function. While the sum on the right side is an infinite sum, for any particular
Legendre's_formula
Solved prime-number problem
factor of p to the numerator.) An upper bound is supplied for the primorial function, n#=∏p≤np, where the product is taken over all prime numbers p less than
Proof_of_Bertrand's_postulate
Probability distribution
(-ix_{\mathrm {m} }t)^{\alpha }\Gamma (-\alpha ,-ix_{\mathrm {m} }t),} where Γ(a, x) is the incomplete gamma function. The parameters may be solved for
Pareto_distribution
Statistical distribution
density function is f X ( x ) = λ r Γ ( r ) e − λ x x r − 1 ( x > 0 ; λ , r > 0 ) {\displaystyle f_{X}^{}(x)={\frac {\lambda ^{r}}{\Gamma (r)}}\
Generalized integer gamma distribution
Generalized_integer_gamma_distribution
Probability distribution on complex matrices
{\mathcal {C}}{\widetilde {\Gamma }}_{p}^{}(n)=\pi ^{p(p-1)/2}\prod _{j=1}^{p}\Gamma (n-j+1)} is the complex multivariate Gamma function. Using the trace rotation
Complex_Wishart_distribution
Probability distribution
the determinant, and Γ p ( ⋅ ) {\displaystyle \Gamma _{p}(\cdot )} is the multivariate gamma function. If X ∼ W ( Σ , ν ) {\displaystyle {\mathbf {X}
Inverse-Wishart_distribution
Mathematical function for the probability a given outcome occurs in an experiment
to the inverse of the covariance matrix of a multivariate normal distribution; generalization of the gamma distribution The cache language models and other
Probability_distribution
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Alternating_factorial
Function related to statistics and probability theory
which is calculated via Bayes' rule. The likelihood function, parameterized by a (possibly multivariate) parameter θ {\textstyle \theta } , is usually defined
Likelihood_function
Statistical distribution for dependence between random variables
In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each
Copula_(statistics)
Solution of a confluent hypergeometric equation
gamma function Laguerre polynomials Parabolic cylinder function (or Weber function) Poisson–Charlier function Toronto functions Whittaker functions Mκ
Confluent hypergeometric function
Confluent_hypergeometric_function
Recursive integer sequence
Stirling's approximation for n ! {\displaystyle n!} , or via generating functions. The only odd Catalan numbers C n {\displaystyle C_{n}} are those
Catalan_number
Probability distribution
typical characterization of the symmetric multivariate Laplace distribution has the characteristic function: φ ( t ; μ , Σ ) = exp ( i μ ′ t ) 1 + 1
Multivariate Laplace distribution
Multivariate_Laplace_distribution
Particular case of the generalized extreme value distribution
distributions. Theory related to the generalized multivariate log-gamma distribution provides a multivariate version of the Gumbel distribution. Gumbel has
Gumbel_distribution
Mathematical result on arithmetic properties of binomial coefficients
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Star_of_David_theorem
Branch of discrete mathematics
combinatorics, which uses explicit combinatorial formulae and generating functions to describe the results, analytic combinatorics aims at obtaining asymptotic
Combinatorics
Type of mathematical function
density is log-concave, so is its cumulative distribution function (CDF). If a multivariate density is log-concave, so is the marginal density over any
Logarithmically concave function
Logarithmically_concave_function
Numbering of combinations of items
(rising/falling) · Digamma function · Polygamma function · Multivariate gamma function · Hypergeometric series · Hypergeometric function identities Factorials
Combinatorial_number_system
Discrete probability distribution
logarithm of the Gamma function can be obtained using the lgamma function in the C standard library (C99 version) or R, the gammaln function in MATLAB or
Poisson_distribution
Mathematical integral
i}}\int _{\gamma }{\frac {\phi (-s)}{\Gamma (-s)}}{\frac {n!}{s(s-1)\cdots (s-n)}}\,ds} where Γ is the gamma function which cancels with the gamma from Ramanujan's
Nørlund–Rice_integral
Expectation or average of the falling factorial of a random variable
integer-valued random variables, and arise in the use of probability-generating functions to derive the moments of discrete random variables. Factorial moments
Factorial_moment
How many standard deviations apart from the mean an observed datum is
test-takers who received lower scores than students A and B. "For some multivariate techniques such as multidimensional scaling and cluster analysis, the
Standard_score
Family of polynomials
empty products. Although the formula at first appears to be a rational function, it actually is a polynomial, because the division is exact in Z[q]. All
Gaussian_binomial_coefficient
Mathematical functions
Pochhammer symbol, used in multivariate analysis. There is also a q-analogue, the q-Pochhammer symbol. For any fixed arithmetic function f : N → C {\displaystyle
Falling_and_rising_factorials
Concept in Bayesian statistics
γ {\displaystyle \gamma } -Smallest Credible Sets ( γ {\displaystyle \gamma } -SCS) can easily be generalized to the multivariate case, and are bounded
Credible_interval
Statistical function that defines the quantiles of a probability distribution
focusing increasing attention on methods based on quantile functions, as they work well with multivariate techniques based on either copula or quasi-Monte-Carlo
Quantile_function
Mathematical function
affine shape adaptation. Also see multivariate normal distribution. A more general formulation of a Gaussian function with a flat-top and Gaussian fall-off
Gaussian_function
Concept in probability theory and statistics
theory and statistics, the moment generating function of a real-valued random variable is a generating function that provides an alternative specification
Moment_generating_function
Uniqueness theorem in complex analysis
Fritz David Carlson. Informally, it states that two different analytic functions which do not grow very fast at infinity can not coincide at the integers
Carlson's_theorem
Generalization of the binomial theorem to other polynomials
Kummer's theorem. By Stirling's approximation, or equivalently the log-gamma function's asymptotic expansion, log ( k n n , n , ⋯ , n ) = k n log ( k )
Multinomial_theorem
Probability distribution
developed in Chan and Tong (1986), which applies to multivariate cases beyond normality, e.g. skew multivariate t distribution and others. The distribution is
Skew_normal_distribution
generalization of the beta negative binomial distribution. The generalized multivariate log-gamma distribution The Marshall–Olkin exponential distribution The
List of probability distributions
List_of_probability_distributions
where C Γ p ( ν ) {\displaystyle {\mathcal {C}}\Gamma _{p}(\nu )} is the complex multivariate Gamma function C Γ p ( ν ) = π 1 2 p ( p − 1 ) ∏ j = 1 p Γ (
Complex inverse Wishart distribution
Complex_inverse_Wishart_distribution
generating function perspective. For instance, the integrand is usually a rational function, and the sum of the residues of a rational function is zero,
Egorychev_method
In statistics, a multivariate Pareto distribution is a multivariate extension of a univariate Pareto distribution. There are several different types of
Multivariate Pareto distribution
Multivariate_Pareto_distribution
Recursive mathematical formula
factorial of a positive integer n {\displaystyle n} is a quickly growing function of n {\displaystyle n} defined by iterating the process of exponentiation
Exponential_factorial
Field of combinatorics using complex analysis
earliest work on multivariate generating functions started in the 1970s using probabilistic methods. Development of further multivariate techniques started
Analytic_combinatorics
Transformation of a mathematical sequence
binomial transform to the sequence associated with its ordinary generating function. The binomial transform, T, of a sequence, {an}, is the sequence {sn} defined
Binomial_transform
Probability distribution
Gamma \left({\frac {k}{2}}\right)}},&x\geq 0;\\0,&{\text{otherwise}}.\end{cases}}} where Γ ( z ) {\displaystyle \Gamma (z)} is the gamma function. The
Chi_distribution
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MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
Girl/Female
Arabic, Indian, Kashmiri
Beautiful Sky
Female
English
Italian name GEMMA means "precious stone."
Girl/Female
Norse
Grandmother.
Girl/Female
Tamil
Beautiful, A destiny
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Girl/Female
French Latin Italian
Jewel.
Surname or Lastname
English
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.
Girl/Female
Gujarati, Hindu, Indian
The Soothing Voice
Girl/Female
Hindu, Indian, Kannada, Telugu
Beautiful; A Destiny
Surname or Lastname
German
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.
Girl/Female
Danish, Indian, Latin, Sanskrit, Swedish
Loveable; Desire
Girl/Female
African, American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Irish, Italian, Jamaican, Latin
Jewel; Precious Stone; Gem
Surname or Lastname
English (chiefly Kent and Sussex)
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.
Girl/Female
Hebrew
Without flaw.
Female
English
Variant spelling of Italian Gemma, JEMMA means "precious stone."
Boy/Male
Arabic
Two Bright Stars Near the Pole; Beta and Gama in Ursa Minor
Girl/Female
Australian, French, Hebrew
Without Flaw; Palm Tree; Perfect
Boy/Male
Indian
Supreme god.
Boy/Male
African, British, English, Indian
Mother; God-like
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
MULTIVARIATE GAMMA-FUNCTION
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