Generating functions and semi-classical orthogonal polynomials

DOI10.1017/S0308210500022460zbMath0815.33005MaRDI QIDQ4317651

Jeannette Van Iseghem, Pascal Maroni

Publication date: 20 December 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionsdifferential equationGegenbauer polynomialsHermite polynomialsLaguerre polynomialsMeixner polynomialsPollaczek polynomialsCharlier polynomialsTricomi- Carlitz polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (2)

Generating functions for spherical harmonics and spherical monogenics ⋮ The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials

Cites Work

• On Certain Special Sets of Orthogonal Polynomials

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