Differential equation derived from generating function -- the case of disk polynomials

zbMath1467.42042MaRDI QIDQ2027107

Shigeru Watanabe

Publication date: 25 May 2021

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1604718021

zbMATH Keywords

disk polynomialgenerating functiondifferential equation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• Generating functions and integral representations for the spherical functions on some classical Gelfand pairs
• Composition Series and Intertwining Operators for the Spherical Principal Series. I

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