User:Charles Matthews/Special functions & eponyms

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This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of the theory (but not intended to include every mathematic eponym). Named symmetric functions, and more general special polynomials, are included.

Contents 1 Niels Abel 2 Sir George Biddell Airy 3 Waleed Al-Salam (1926-1996) 4 C. T. Anger 5 Kazuhiko Aomoto 6 Paul Emile Appell (1855-1930) 7 Richard Askey 8 E. T. Bell 9 Bernoulli 10 Bessel 11 R. P. Boas, R. C. Buck 12 Burchnall, Chaundy 13 Leonard Carlitz 14 Arthur Cayley, Capelli 15 Pafnuty Chebyshev 16 Christoffel, Darboux 17 Charles F. Dunkl 18 Engel 19 Erdélyi Artúr 20 Leonhard Euler 21 C. F. Gauss 22 Leopold Bernhard Gegenbauer 23 Christoph Gudermann 24 H. Exton 25 Hankel 26 Charles Hermite 27 Karl L. W. M. Heun(1859 - 1929) 28 J. Horn 29 Adolf Hurwitz 30 Henry Jack (1917-1978) Dundee 31 F. H. Jackson 32 Jacobi 33 Joseph Marie Kampe de Feriet (1893-1982) 34 David Kazhdan, George Lusztig 35 Lord Kelvin 36 Kirchhoff 37 Tom H. Koornwinder 38 Mikhailo Pylypovich Kravchuk 39 Edmond Laguerre 40 Lamé 41 G. Lauricella Lauricella-Saran 42 Adrien-Marie Legendre 43 Eugen Cornelius Joseph von Lommel (1837-1899) physicist 44 Ian G. Macdonald 45 Emile Léonard Mathieu 46 F. G. Mehler, student of Dirichlet (Ferdinand) 47 Josef Meixner 48 Paul Painlevé 49 Giulio Racah 50 Riccati 51 Bernhard Riemann 52 Rodrigues 53 L. J. Rogers = Leonard James Rogers 54 Issai Schur 55 Atle Selberg 56 Sheffer 57 Stieltjes 58 Hermann Struve 59 F. G. Tricomi 60 Louis Weisner 61 E. T. Whittaker

[edit] Niels Abel

• Abel polynomials - Abelian function - Abel-Gontscharoff interpolating polynomial

[edit] Sir George Biddell Airy

• Airy function

[edit] Waleed Al-Salam (1926-1996)

• Al-Salam polynomial - Al Salam-Carlitz polynomial - Al Salam-Chihara polynomial

[edit] C. T. Anger

• Anger-Weber function

[edit] Kazuhiko Aomoto

• Aomoto-Gel'fand hypergeometric function - Aomoto integral

[edit] Paul Emile Appell (1855-1930)

• Appell hypergeometric series - Appell polynomial

[edit] Richard Askey

• Askey-Wilson polynomial, Askey-Wilson function (with James Wilson)

[edit] E. T. Bell

• Bell polynomials

• Bender-Dunne polynomial

[edit] Bernoulli

• Bernoulli polynomial

[edit] Bessel

• Bessel function

[edit] R. P. Boas, R. C. Buck

• Boas-Buck polynomial

• Boehmer integral

[edit] Burchnall, Chaundy

• Burchnall-Chaundy polynomial

[edit] Leonard Carlitz

• Carlitz polynomial

[edit] Arthur Cayley, Capelli

• Cayley-Capelli operator

• Celine's polynomial

• Charlier polynomial

[edit] Pafnuty Chebyshev

• Chebyshev polynomials

[edit] Christoffel, Darboux

• Christoffel-Darboux relation

[edit] Charles F. Dunkl

• Dunkl operator, Jacobi-Dunkl operator, Dunkl–Cherednik operator

[edit] Engel

• Engel series

[edit] Erdélyi Artúr

• Erdelyi-Kober operator

[edit] Leonhard Euler

• Euler polynomial

[edit] C. F. Gauss

• Gaussian polynomial

[edit] Leopold Bernhard Gegenbauer

• Gegenbauer polynomials

• Gottlieb polynomial
• Gould polynomial

[edit] Christoph Gudermann

• Gudermannian function

• Hahn polynomial

[edit] H. Exton

• Hahn-Exton Bessel function

• Hall polynomial
• Hall-Littlewood polynomial

[edit] Hankel

• Hankel function

[edit] Charles Hermite

• Hermite polynomials

[edit] Karl L. W. M. Heun(1859 - 1929)

• Heun's equation

[edit] J. Horn

• Horn hypergeometric series

[edit] Adolf Hurwitz

• Hurwitz zeta-function

• Ismaili polynomial

[edit] Henry Jack (1917-1978) Dundee

• Jack polynomial Henry Jack

[edit] F. H. Jackson

• Jackson derivative Jackson integral

[edit] Jacobi

• Jacobi polynomial

[edit] Joseph Marie Kampe de Feriet (1893-1982)

• Kampe de Feriet hypergeometric series,

[edit] David Kazhdan, George Lusztig

• Kazhdan-Lusztig polynomial

[edit] Lord Kelvin

• Kelvin function

• Kibble-Slepian formula

[edit] Kirchhoff

• Kirchhoff polynomial

[edit] Tom H. Koornwinder

• Koornwinder polynomial

• Kostka polynomial
• Kostka-Foulkes polynomial

[edit] Mikhailo Pylypovich Kravchuk

• Krawtchouk polynomial

[edit] Edmond Laguerre

• Laguerre polynomials

[edit] Lamé

• Lamé polynomial

[edit] G. Lauricella Lauricella-Saran

• Lauricella hypergeometric series

[edit] Adrien-Marie Legendre

• Legendre polynomials

[edit] Eugen Cornelius Joseph von Lommel (1837-1899) physicist

• Lommel polynomial, Lommel function

[edit] Ian G. Macdonald

• Macdonald polynomial, Macdonald-Kostka polynomial, Macdonald spherical function

• Mahler polynomial

• Maitland function

[edit] Emile Léonard Mathieu

• Mathieu function

[edit] F. G. Mehler, student of Dirichlet (Ferdinand)

• Mehler's formula, Mehler-Fock formula, Mehler-Heine formula, Meier function

• Meijer G-function

[edit] Josef Meixner

• Meixner polynomial,Meixner-Pollaczek polynomial

• Mittag-Leffler polynomial

• Mott polynomial

[edit] Paul Painlevé

• Painlevé function

• Poisson-Charlier polynomial

• Pollaczek polynomial

[edit] Giulio Racah

• Racah polynomial *

[edit] Riccati

• Riccati-Bessel function

[edit] Bernhard Riemann

• Riemann zeta-function

[edit] Rodrigues

• Rodrigues formula

[edit] L. J. Rogers = Leonard James Rogers

• Rogers-Askey- Ismail polynomial, Rogers-Ramanujan identity, Rogers-Szegö polynomial

• Schubert polynomial

[edit] Issai Schur

• Schur polynomial

[edit] Atle Selberg

• Selberg integral

[edit] Sheffer

• Sheffer polynomial

• Slater's identities

[edit] Stieltjes

• Stieltjes polynomial
• Stieltjes-Wigert polynomial

• Stromgen function

[edit] Hermann Struve

• Struve function

[edit] F. G. Tricomi

• Tricomi-Carlitz polynomial *Wall polynomial

• Weber function

[edit] Louis Weisner

• Weisner's method

[edit] E. T. Whittaker

• Whittaker function

• Wilson polynomial