Symbolic methods for the evaluation of sum rules of Bessel functions

DOI10.1063/1.4812325zbMath1334.33016arXiv1209.5114OpenAlexW1995957739WikidataQ116677421 ScholiaQ116677421MaRDI QIDQ5407584

Katarzyna Górska, Giuseppe Dattoli, Karol A. Penson, Danilo Babusci

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5114

zbMATH Keywords

generating functionsBessel functionsspecial orthogonal polynomials

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)

Related Items (9)

The Mittag-Leffler-Legendre polynomials and their Lie-algebraic relations ⋮ The spherical Bessel and Struve functions and operational methods ⋮ Repeated derivatives of composite functions and generalizations of the Leibniz rule ⋮ Theory of generalized trigonometric functions: from Laguerre to Airy forms ⋮ Products of Bessel functions and associated polynomials ⋮ Sum rules for zeros and intersections of Bessel functions from quantum mechanical perturbation theory ⋮ Operational versus umbral methods and the Borel transform ⋮ Operational, umbral methods, Borel transform and negative derivative operator techniques ⋮ Integrals of special functions and umbral methods

Cites Work

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• New sum rule for products of Bessel functions with application to plasma physics
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