The jacobi inversion formula

DOI10.1080/17476939908815177zbMath0989.33009arXivmath/9908148OpenAlexW2126993309MaRDI QIDQ4487903

J. Koekoek, Roelof Koekoek

Publication date: 25 June 2000

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908148

zbMATH Keywords

differential equationsgeneralized Jacobi polynomialsinversion formulas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Ordinary differential equations of infinite order (34A35)

Related Items (10)

Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions. ⋮ Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions ⋮ New representation and factorizations of the higher-order ultraspherical-type differential equations ⋮ On polynomials associated with Cauchy–Stieltjes kernel families ⋮ On a Neumann-type series for modified Bessel functions of the first kind ⋮ Differential equations for generalized Jacobi polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ The Hermitian Jacobi process: a simplified formula for the moments and application to optical fiber MIMO channels ⋮ Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions ⋮ Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials

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