On expansion problems involving addition theorems and Kapteyn series

DOI10.1016/0022-247X(84)90207-5zbMath0547.33004OpenAlexW1999455114MaRDI QIDQ798817

N. E. Zubov

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90207-5

zbMATH Keywords

Jacobi polynomialsLaguerre polynomialsBessel functionsultraspherical polynomialsKapteyn seriesKapteyn expansionNeumann-Gegenbauer expansion

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• The Bessel polynomials
• Some remarks on uniform asymptotic expansions for Bessel functions
• The special functions and their approximations. Vol. I, II
• On Expansion Problems: New Classes of Formulas for the Classical Functions
• Some Classes of Generating Functions for the Laguerre and Hermite Polynomials
• A Class of Generating Functions

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