Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions

DOI10.3792/pjaa.74.46zbMath0918.46028OpenAlexW2038610688MaRDI QIDQ1269352

Shigeru Watanabe

Publication date: 4 August 1999

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.46

zbMATH Keywords

generating functionJacobi polynomialsGegenbauer polynomialsintegral kernelunitary operators on Hilbert spaces

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral operators (47G10) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Jacobi polynomials and associated reproducing kernel Hilbert spaces

Cites Work

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• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Hilbert spaces of analytic functions and the Gegenbauer polynomials
• Hilbert spaces of analytic functions associated with generating functions of spherical functions on \(U(n)/ U(n-1)\)
• On a Hilbert space of analytic functions and an associated integral transform part I

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