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Special function occurring in problems possessing elliptic symmetry
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2
Mathieu_function
Name list
American hockey defenseman Mathieu Valbuena (born 1984), French footballer Matthieu Matthew (name) Mathieu function, special function useful for treating a
Mathieu
French mathematician
mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical
Émile_Léonard_Mathieu
Quartic potential in quantum mechanics
Müller-Kirsten. The large order behavior of asymptotic expansions of Mathieu functions and their eigenvalues (also called characteristic numbers) has been
Double-well_potential
function Mathieu function Mittag-Leffler function Painlevé transcendents Parabolic cylinder function Arithmetic–geometric mean Ackermann function: in the
List of mathematical functions
List_of_mathematical_functions
equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide
Mathieu_wavelet
Macdonald spherical function Mahler polynomial Maitland function Émile Léonard Mathieu: Mathieu function F. G. Mehler, student of Dirichlet (Ferdinand): Mehler's
List of eponyms of special functions
List_of_eponyms_of_special_functions
Scottish mathematician (1867-1951)
its President from 1936 to 1941. He was an expert on the Lame function, Mathieu function and proved Klein's theorem. He was born on 14 March 1867, the
Lawrence Crawford (mathematician)
Lawrence_Crawford_(mathematician)
Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)
Ramanujan's mock theta functions. It is a generalization of the Mathieu moonshine phenomenon connecting representations of the Mathieu group M24 with K3 surfaces
Umbral_moonshine
Energy range in a solid where no electron states exist
co-moving frame. The solutions can be given with the help of the Mathieu functions. Every solid has its own characteristic energy-band structure. This
Band_gap
Free swinging suspended body
pendulum Kapitza's pendulum Rayleigh–Lorentz pendulum Elastic pendulum Mathieu function Pendulum equations (software) defined by Christiaan Huygens: Huygens
Pendulum_(mechanics)
Solutions of Lamé's equation
corresponding calculations for Mathieu functions, and oblate spheroidal wave functions and prolate spheroidal wave functions). With the following boundary
Lamé_function
linearly independent Mathieu cosines and Mathieu sines, which are even and odd solutions respectively. In general, the Mathieu functions are aperiodic; however
Quantum_pendulum
Sporadic simple group
In the area of modern algebra known as group theory, the Mathieu group M24 is a sporadic simple group of order 244,823,040 = 210 · 33 · 5 · 7 · 11 ·
Mathieu_group_M24
Five sporadic simple groups
abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Émile Mathieu (1861, 1873). They are
Mathieu_group
Second order linear differential equation featuring a periodic function
Eric W. "Hill's Differential Equation". MathWorld. Wolf, G. (2010), "Mathieu Functions and Hill's Equation", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert
Hill_differential_equation
Solitons in Euclidean spacetime
a cosine potential (cf. Mathieu function) or other periodic potentials (cf. e.g. Lamé function and spheroidal wave function) and irrespective of whether
Instanton
(1891–1968) Scottish mathematician, natural scientist and lawyer
research on Temperature Seiches in Loch Earn and presented papers on Mathieu function and Lagrange polynomials. He was elected a Fellow of Royal Society
Andrew_Young_(mathematician)
Special functions occurring in mathematical physics
{bc}}-(b+c)/2}}\right]} Moreover, Mathieu functions are special-case solutions of the Baer equation, since the latter reduces to the Mathieu differential equation
Baer_function
Branch of ordinary differential equations
2007.2063. ISSN 1364-503X. N.W. McLachlan, Theory and Application of Mathieu Functions, New York: Dover, 1964. Montagnier, Pierre; Paige, Christopher C.;
Floquet_theory
distribution Andrew White Young 1891–1968 mathematician researched temperature seiches in Loch Earn and presented on Mathieu function and Lagrange polynomials
List_of_Scottish_scientists
American mathematician
over 30 articles on functional approximation, numerical analysis and Mathieu functions. Between 1940 and 1942, while at the Mathematical Tables Project,
Gertrude_Blanch
British mathematician (1903–1989)
Jeffreys. His 1928 PhD thesis was entitled The Theory And Application Of Mathieu Functions. He was appointed Rockefeller Research Fellow and spent a year working
Sydney_Goldstein
name, this function is not periodic, and it cannot be written in terms of sinusoidal or even hypergeometric functions. (See Mathieu function for more about
Monochromatic electromagnetic plane wave
Monochromatic_electromagnetic_plane_wave
Model in Quantum Physics
potential or a cosine function as it was shown in 1928 by Strutt. The solutions can be given with the help of the Mathieu functions. When nearing the edges
Particle in a one-dimensional lattice
Particle_in_a_one-dimensional_lattice
French mathematician (born 1977)
Mathieu Lewin (born 14 November 1977 in Senlis, Oise, France) is a French mathematician and mathematical physicist who deals with partial differential
Mathieu_Lewin
French-American science fiction thriller film
woman who awakens trapped in an airtight medical cryogenic unit, with Mathieu Amalric and Malik Zidi in supporting roles. The film was released by Netflix
Oxygen_(2021_film)
British mathematician and historian of science (1873–1956)
philosophy. Among others, Whittaker coined the terms cardinal function and Mathieu function. The School of Mathematics of the University of Edinburgh holds
E._T._Whittaker
chain, partition, Markovian process – Andrey Markov Mathieu functions – Émile Léonard Mathieu Matilda effect – Matilda Joslyn Gage Matthew effect –
Scientific phenomena named after people
Scientific_phenomena_named_after_people
British theoretical physicist
the fields of Bose-Einstein integrals, Fermi-Dirac integrals, and Mathieu functions. A main research area of Dingle's was the subject of asymptotic expansions
Robert_Balson_Dingle
Harmonic oscillator whose parameters oscillate in time
Business Media. p. 7. ISBN 978-1461525004. Bell, M. (1957). "A note on Mathieu functions". Glasgow Mathematical Journal. 3 (3): 132–134. doi:10.1017/S204061850003358X
Parametric_oscillator
Mathematical function, inverse of an exponential function
to base b, written logb x = y, so log10 1000 = 3. As a single-variable function, the logarithm to base b is the inverse of exponentiation with base b.
Logarithm
Two closely related series in number theory
theory, the ruler function of an integer n {\displaystyle n} can be either of two closely related functions. One of these functions counts the number
Ruler_function
Device for trapping charged particles
ISSN 1076-5174. S2CID 16506573. N. W. McLachlan, Theory and Applications of Mathieu Functions (Oxford University Press, Oxford, 1947), p. 20 H.J.W. Müller-Kirsten
Ion_trap
1964 mathematical reference work edited by M. Abramowitz and I. Stegun
Weierstrass Elliptic and Related Functions Parabolic Cylinder Functions Mathieu Functions Spheroidal Wave Functions Orthogonal Polynomials Bernoulli and
Abramowitz_and_Stegun
Biblically-themed operating system
Archived from the original on June 1, 2016. Retrieved June 16, 2018. Mathieu, Bruno (November 28, 2014). "TempleOS : le système d'exploitation qui parle
TempleOS
American mathematician and historian of mathematics (1908–1992)
commonly found in other books on the history of mathematics, such as the Mathieu functions and the Navier–Stokes equations. Lester Paldy deemed the book appropriate
Morris_Kline
Branch of mathematics
of the function near that point. By finding the derivative of a function at every point in its domain, it is possible to produce a new function, called
Calculus
Structure that guides waves efficiently
ISBN 978-1-4615-2638-4. McLachlan, Norman William (1964). Theory and Application of Mathieu Functions, By N.W. Mclachlan. New York, New York: Dover. Marcuvitz, Nathan (1951)
Waveguide
Concept in general relativity
the metric functions can be written down in terms of elementary functions or perhaps well-known special functions such as Mathieu functions.) Explicit
Pp-wave_spacetime
Natural number
point of John Conway's look-and-say function. The number 22 appears prominently within sporadic groups. The Mathieu group M22 is one of 26 sporadic finite
22_(number)
Method for estimating new data within known data points
of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple
Interpolation
Textbook in mathematical analysis
Bessel Functions The Equations of Mathematical Physics Mathieu Functions Elliptic Functions. General theorems and the Weierstrassian Functions The Theta
A_Course_of_Modern_Analysis
2018 Canadian film
system running on limited battery power. To keep Sarah’s capsule functioning, Mathieu makes dangerous trips through the gas-filled building to gather oxygen
Just_a_Breath_Away
Chilean politician (1852–1931)
Beltrán Luis Mathieu Andrews (Talcahuano, April 10, 1852 — Paris, May 20, 1931) was a Chilean lawyer, diplomat and politician, member of the Radical Party
Beltrán_Mathieu
Hollow metal pipe used to carry radio waves
Mag. 43, p. 125 (1897). N. W. McLachlan, Theory and Applications of Mathieu Functions, p. 8 (1947) (reprinted by Dover: New York, 1964). George Clark Southworth
Waveguide_(radio_frequency)
with the generalized functions, Mathieu functions of different kinds and Lommel's functions of two variables) than Green's function method. In some cases
Spacetime triangle diagram technique
Spacetime_triangle_diagram_technique
Set of statistical processes for estimating the relationships among variables
Reference to the Biological Sciences., McGraw Hill, 1960, page 288. Rouaud, Mathieu (2013). Probability, Statistics and Estimation (PDF). p. 60. Chiang, C
Regression_analysis
Bergmann, Katharina Wackernagel Thriller Amen. Costa-Gavras Ulrich Tukur, Mathieu Kassovitz, Ulrich Mühe War drama a.k.a. Der Stellvertreter. French-German-Romanian
List of German films of the 2000s
List_of_German_films_of_the_2000s
German theoretical physicist
(Springer-Verlag, 1954) J. Meixner, F. W. Schäfke, and G. Wolf Mathieu functions and spheroidal functions and their mathematical foundations: further studies (Springer-Verlag
Josef_Meixner
Online sextortion network
Teens". Unicorn Riot. Retrieved December 22, 2024. Roumeliotis, Ioanna; Mathieu-Leger, Laurence; Culbert, Andrew (March 9, 2024). "Violent online groups
764_(organization)
0130. Whittaker, E. T. (1929). "On the Recurrence-Formulae of the Mathieu Functions". Journal of the London Mathematical Society. s1-4 (2): 88–96. doi:10
Bibliography of E. T. Whittaker
Bibliography_of_E._T._Whittaker
French abstract painter (1921–2012)
Palace. Mathieu then worked for the United States Lines in charge of public relations on the line between New York City and Le Havre: his function was to
Georges_Mathieu
Fischerauer [de] Jürgen Tarrach [de], Adriana Altaras, Rainer Basedow, Mathieu Carrière, Hans-Michael Rehberg, Alexander Held, Serge Avédikian Docudrama
List of German films of the 2010s
List_of_German_films_of_the_2010s
Monster and modular connection
generalized moonshine functions, strongly suggesting that some analogue of a holomorphic conformal field theory lies behind Mathieu moonshine. Also in 2012
Monstrous_moonshine
in order of the Mathieu characteristic values a n {\displaystyle a_{n}} and b n {\displaystyle b_{n}} . In general, Mathieu functions are not periodic
Quantum cylindrical quadrupole
Quantum_cylindrical_quadrupole
is a function that is a linear map "up to a twist", hence semi-linear, where "twist" means "field automorphism of K". Explicitly, it is a function T :
Semilinear_map
French statesman (1781–1855)
Louis-Mathieu, comte Molé (French: [lwi matjø kɔ̃t mɔle]; 24 January 1781 – 23 November 1855) was a French statesman and a close friend and associate
Louis-Mathieu_Molé
Historical commune in the western suburbs of Paris
given new wine / Sour surene, flat rinse! / Eight days later: 'Monsieur Mathieu' / He said to the local sommelier, / 'Let's see the wine in the cruet /
History_of_Suresnes
Province of Canada
de Champlain travelled to the Saint Lawrence River and, on Pointe Saint-Mathieu, established a defence pact with the Innu, Wolastoqiyik and Mi'kmaq, that
Quebec
Houthi involvement in the Gaza war
2024. Retrieved 30 September 2025. Allard, Léonie; Bianco, Cinzia; Droin, Mathieu (7 March 2024). "With Operation Aspides, Europe is charting its own course
Red_Sea_crisis
Mansion in Canada
Journal Métro (Website) (Newspaper) (in French). Montreal, Quebec. Prost, Mathieu (June 12, 2021). "L'ancien hôpital Royal Victoria, nouvelle porte d'accès
Ravenscrag,_Montreal
Family of type systems based on substructural logic
Press. pp. 3–43. ISBN 0-262-16228-8. Bernardy, Jean-Philippe; Boespflug, Mathieu; Newton, Ryan R; Peyton Jones, Simon; Spiwack, Arnaud (2017). "Linear Haskell:
Substructural_type_system
Scottish mathematician (1867–1960)
Dougall's own contributions to mathematics include works on Bessel functions, Mathieu functions, hypergeometric series, and the Schläfli double six. He also
John_Dougall_(mathematician)
Ships that were lost or scuttled along the coast
Pitcher, Grant C.; Rautenbach, Christo; Robinson, Tamara B.; Rouault, Mathieu; Ryan, Peter G.; Shillington, Frank A.; Sowman, Merle; Sparks, Conrad C
Shipwrecks_of_Cape_Town
2026 video game
Emeric Thoa served as its creative director, while comic book artist Mathieu Bablet was its art director and lead writer, and Martin Stig Andersen was
Cairn_(video_game)
séances de l'Académie des inscriptions et belles-lettres. Grandet, Pierre; Mathieu, Bernard. Cours d'égyptien hiéroglyphique. pp. 62, 150, 235, 448. ancient
Clergy_of_ancient_Egypt
2005 historical film directed by Steven Spielberg
Kaufman (based on Yuval Aviv) Daniel Craig as Steve Ciarán Hinds as Carl Mathieu Kassovitz as Robert Hanns Zischler as Hans Ayelet Zurer as Daphna Kaufman
Munich_(2005_film)
Decentralized machine learning
Fausto; Roth, Holger R.; Albarqouni, Shadi; Bakas, Spyridon; Galtier, Mathieu N.; Landman, Bennett A.; Maier-Hein, Klaus; Ourselin, Sébastien; Sheller
Federated_learning
2004 French film
6-year-old Sylvain with his parents, young Mathieu, with his wife Rachel. Rachel is initially reluctant to see Mathieu, until one day he follows her home, acting
They_Came_Back
2001 terror attacks in the U.S.
September 20, 2014. Retrieved May 15, 2023. Ritchie, Hannah; Hasell, Joe; Mathieu, Edouard; Appel, Cameron; Roser, Max (July 28, 2013). "Terrorism". Our
September_11_attacks
Nuclear operations in supplying fuel to French nuclear reactors
Archived from the original on 9 June 2010. Retrieved June 20, 2011. Grousson, Mathieu (January 27, 2016). "Nucléaire : l'épineuse question du combustible" [Nuclear:
Nuclear_fuel_cycle_in_France
Norwegian-American physical chemist and theoretical physicist (1903-1976)
It dealt with the solutions of the Mathieu equation of period 4 π {\displaystyle 4\pi } and certain related functions and was beyond the comprehension of
Lars_Onsager
Drama Napoleon - Metternich: Der Anfang vom Ende Christian Twente [de], Mathieu Schwartz Pierre Kiwitt [de], David Sighicelli History, Docudrama Nesting
List of German films of the 2020s
List_of_German_films_of_the_2020s
Continent
the 1960s onwards including that of Denis Sassou-Nguesso, in Benin under Mathieu Kerekou, in the Seychelles under France-Albert René, in Angola, Mozambique
Africa
German physicist
(C3). Asymptotic expansions of Mathieu functions, spheroidal wave functions, Lamé functions and ellipsoidal wave functions and their eigenvalues. Asymptotic
Harald_J._W._Mueller-Kirsten
Automorphism group of the Klein quartic
subgroup of the Mathieu group M21, the subgroup acts non-transitively on 21 points. (Richter) Richter, David A., How to Make the Mathieu Group M24, archived
PSL(2,7)
Transnational Sunni Islamist organization
from the original on 13 January 2024. Retrieved 16 January 2024. Guidère, Mathieu (20 September 2017). Historical Dictionary of Islamic Fundamentalism. Rowman
Muslim_Brotherhood
Gastrointestinal peptide hormone involved in glucose homeostasis
1007/s00125-013-2841-0. PMC 3687347. PMID 23377698. Rondas D, D'Hertog W, Overbergh L, Mathieu C (September 2013). "Glucagon-like peptide-1: modulator of β-cell dysfunction
Glucagon-like_peptide-1
(1972, 1976). Odd Holten, 85, Norwegian politician, MP (1989–2005). Serge Mathieu, 90, French politician, deputy (1973–1976), senator (1977–2004). Sergio
Deaths_in_March_2026
2018 American drama film
cinematic execution feels a bit lacking at times, the film fulfills a vital function with its dramatization of an important chapter in America's history of
Radium_Girls_(film)
Incumbent Belgian government
and SMEs Eléonore Simonet 3 February 2025 Incumbent Minister of Energy Mathieu Bihet 3 February 2025 Incumbent Minister of Mobility, Climate and Ecological
De_Wever_government
Fundamental theorem in probability theory and statistics
Probability for Engineers (6th ed.). Wiley. p. 241. ISBN 9781118539712. Rouaud, Mathieu (2013). Probability, Statistics and Estimation (PDF). p. 10. Archived (PDF)
Central_limit_theorem
Mental Floss. September 6, 2012. Retrieved July 21, 2022. Charlebois, Mathieu (November 29, 2018). "The worst movies of all time". MSN. Archived from
List of 21st-century films considered the worst
List_of_21st-century_films_considered_the_worst
Airport" by Shigeru Suzuki "The Key to Gramercy Park" by Deadsy "Keyornew" by Mathieu Boogaerts "Kickin' 4 Brooklyn" by MC Lyte "Kids in America" by Kim Wilde
List of songs about New York City
List_of_songs_about_New_York_City
Eldest daughter of Princess Caroline of Monaco, author and brand ambassador
suggested a romance between Casiraghi and the Prix Goncourt laureate Nicolas Mathieu with further speculation appearing in Libération. Two years on, the relationship
Charlotte_Casiraghi
European Union regulation proposal on child pornography detection
from the original on 4 February 2023. Retrieved 4 February 2023. Pollet, Mathieu (10 May 2022). "LEAK: Commission to force scanning of communications to
Regulation to Prevent and Combat Child Sexual Abuse
Regulation_to_Prevent_and_Combat_Child_Sexual_Abuse
Object detection system
doi:10.3390/ENG6110302. Sermanet, Pierre; Eigen, David; Zhang, Xiang; Mathieu, Michael; Fergus, Rob; LeCun, Yann (2014-02-23), OverFeat: Integrated Recognition
You_Only_Look_Once
Political crisis following the 2024 legislative election
Macron". Politico. 4 December 2024. Retrieved 5 December 2024. Dejean, Mathieu; Graulle, Pauline (4 December 2024). "Le gouvernement Barnier tombe, après
2024–2025 French political crisis
2024–2025_French_political_crisis
2015 British television drama series
Mark Gatiss[Series 1] and Alex Jennings[Series 2] as Stephen Gardiner Mathieu Amalric[Series 1] and Karim Kadjar [fr][Series 2] as Eustache Chapuys Joanne
Wolf_Hall_(TV_series)
British actor (born 1948)
Downton Abbey: The Grand Finale (2025). Carter's films include A Private Function (1984), The Company of Wolves (1984), A Month in the Country (1987), The
Jim_Carter_(actor)
Laws in physics about force and motion
May 2022. Baez, John C. (2021). "Struggles with the Continuum". In Anel, Mathieu; Catren, Gabriel (eds.). New Spaces in Physics: Formal and Conceptual Reflections
Newton's_laws_of_motion
Season of television series
Terror": Matthew MacFadzean replaces Mark Lenard as the Romulan commander, Mathieu Bourassa replaces Montaigne as the Romulan sub-commander, and Ali Hassan
Star Trek: Strange New Worlds season 1
Star_Trek:_Strange_New_Worlds_season_1
Varying application boundaries
"Terror – A hybrid perpetrator in individualized terrorism warfare". In: Mathieu Deflem, (ed.), Terrorism and Counterterrorism Today. Bingley: Emerald,
Fuzzy_concept
Report — Iran" (PDF). Bertelsmann Stiftung. 2022. Retrieved 19 July 2025. Mathieu, Edouard; Ritchie, Hannah; Rodés-Guirao, Lucas; Appel, Cameron; Giattino
History_of_Iran
Indian Cardinal of Catholic Church
junior cardinal deacon, he was responsible for a variety of administrative functions, such as selecting by lot the cardinals responsible for counting the ballots
George_Koovakad
Measure of algorithmic complexity
602–619. doi:10.1016/s0019-9958(66)80018-9. Galatolo, Stefano; Hoyrup, Mathieu; Rojas, Cristóbal (2010). "Effective symbolic dynamics, random points,
Kolmogorov_complexity
Appointed judge in Islamic jurisprudence
magistrate or judge of a Sharia court, who also exercises extrajudicial functions such as mediation, guardianship over orphans and minors, and supervision
Qadi
Conformal field theory of the 2D Ising model critical point
central charge c = 1 2 {\displaystyle c={\tfrac {1}{2}}} . Correlation functions of the spin and energy operators are described by the ( 4 , 3 ) {\displaystyle
Two-dimensional critical Ising model
Two-dimensional_critical_Ising_model
American product manager, data scientist and engineer, and whistleblower
Act". European Parliament. May 16, 2022. Retrieved June 5, 2022. Pollet, Mathieu (May 18, 2022). "Facebook whistleblower calls on MEPs to make sure DSA
Frances_Haugen
travel, tourism, insurance
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