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Niels Abel: Abel polynomials - Abelian function - Abel–Gontscharoff interpolating polynomial (A)
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Sir George Biddell Airy: Airy function (A)
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Waleed Al-Salam (1926–1996): Al-Salam polynomial - Al Salam–Carlitz polynomial - Al Salam–Chihara polynomial (A)
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C. T. Anger: Anger–Weber function (A)
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Kazuhiko Aomoto: Aomoto–Gel'fand hypergeometric function - Aomoto integral (A)
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Paul Émile Appell (1855–1930): Appell hypergeometric series, Appell polynomial, Generalized Appell polynomials (A)
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Richard Askey: Askey–Wilson polynomial, Askey–Wilson function (with James A. Wilson) (A)
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Engel: Engel expansion (E)
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Erdélyi Artúr: Erdelyi–Kober operator (E)
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Leonhard Euler: Euler polynomial, Eulerian integral, Euler hypergeometric integral (E)
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V. N. Faddeeva: Faddeeva function (also known as the complex error function; see error function) (F)
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Wolfgang Hahn: Hahn polynomial, (with H. Exton) Hahn–Exton Bessel function (H)
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Philip Hall: Hall polynomial, Hall–Littlewood polynomial (H)
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Hermann Hankel: Hankel function (H)
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Heine: Heine functions (H)
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Charles Hermite: Hermite polynomials (H)
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Karl L. W. M. Heun (1859 – 1929): Heun's equation (H)
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J. Horn: Horn hypergeometric series (H)
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Adolf Hurwitz: Hurwitz zeta-function (H)
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Henry Jack (1917–1978) Dundee: Jack polynomial (J)
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F. H. Jackson: Jackson derivative Jackson integral (J)
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Carl Gustav Jakob Jacobi: Jacobi polynomial (J)
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Edmond Laguerre: Laguerre polynomials (L)
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Johann Heinrich Lambert: Lambert W function (L)
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Gabriel Lamé: Lamé polynomial (L)
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G. Lauricella Lauricella-Saran: Lauricella hypergeometric series (L)
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Adrien-Marie Legendre: Legendre polynomials (L)
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Eugen Cornelius Joseph von Lommel (1837–1899), physicist: Lommel polynomial, Lommel function, Lommel–Weber function (L)
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Paul Painlevé: Painlevé function, Painlevé transcendents (P)
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Poisson–Charlier polynomial (P)
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Pollaczek polynomial (P)
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Giulio Racah: Racah polynomial (R)
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Jacopo Riccati: Riccati–Bessel function (R)
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Bernhard Riemann: Riemann zeta-function (R)
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Olinde Rodrigues: Rodrigues formula (R)
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Leonard James Rogers: Rogers–Askey–Ismail polynomial, Rogers–Ramanujan identity, Rogers–Szegő polynomials (R)
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Francesco Tricomi: Tricomi–Carlitz polynomial (T)
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Wall polynomial (W)
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Wangerein: Wangerein functions (W)
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Weber function (W)
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Weierstrass: Weierstrass function (W)
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Louis Weisner: Weisner's method (W)
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E. T. Whittaker: Whittaker function (W)
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Wilson polynomial (W)
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Frits Zernike: Zernike polynomials (Z)
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