orthogonal polynomials
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11—20 of 115 matching pages
11: 29 Lamé Functions
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12: 10 Bessel Functions
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13: Tom H. Koornwinder
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►Koornwinder has been active as an officer in the SIAM Activity Group on Special Functions and Orthogonal Polynomials.
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14: Howard S. Cohl
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►Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and -series.
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15: Richard A. Askey
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►Over his career his primary research areas were in Special Functions and Orthogonal Polynomials, but also included other topics from Classical Analysis and related areas.
…One of his most influential papers Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials (with J.
…Published in 1985 in the Memoirs of the American Mathematical Society, it also introduced the directed graph of hypergeometric orthogonal polynomials commonly known as the Askey scheme.
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►Additional books for which Askey served as author or editor include Orthogonal Polynomials and Special Functions, published by SIAM in 1975, Theory and application of special functions, published by Academic Press in 1975, Special Functions: Group Theoretical Aspects and Applications (with T.
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►Askey was presented a Lifetime Achievement Award in Recognition and Appreciation for his Outstanding Work and Leadership in the Field of Special Functions at the International Symposium on Orthogonal Polynomials, Special Functions and Applications in Hagenberg, Austria on July 24, 2019.
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16: 18.41 Tables
17: 18.38 Mathematical Applications
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Quadrature
… ►Riemann–Hilbert Problems
… ►Radon Transform
… ►Group Representations
… ►Dunkl Type Operators and Nonsymmetric Orthogonal Polynomials
…18: 18.19 Hahn Class: Definitions
§18.19 Hahn Class: Definitions
… ►Hahn, Krawtchouk, Meixner, and Charlier
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19: Bibliography I
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Two families of orthogonal polynomials related to Jacobi polynomials.
Rocky Mountain J. Math. 21 (1), pp. 359–375.
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An electrostatics model for zeros of general orthogonal polynomials.
Pacific J. Math. 193 (2), pp. 355–369.
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More on electrostatic models for zeros of orthogonal polynomials.
Numer. Funct. Anal. Optim. 21 (1-2), pp. 191–204.
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Classical and Quantum Orthogonal Polynomials in One Variable.
Encyclopedia of Mathematics and its Applications, Vol. 98, Cambridge University Press, Cambridge.
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Bound on the extreme zeros of orthogonal polynomials.
Proc. Amer. Math. Soc. 115 (1), pp. 131–140.
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