The spherical Bessel and Struve functions and operational methods

DOI10.1016/j.amc.2014.03.137zbMath1334.33017arXiv1211.5681OpenAlexW2592672757WikidataQ116677417 ScholiaQ116677417MaRDI QIDQ275126

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

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5681

zbMATH Keywords

Bessel functionsstruve functionsumbral methods

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Repeated derivatives of composite functions and generalizations of the Leibniz rule ⋮ Mittag-Leffler based Bessel and Tricomi functions via umbral approach ⋮ Operational versus umbral methods and the Borel transform ⋮ Operational, umbral methods, Borel transform and negative derivative operator techniques ⋮ Operator ordering and solution of pseudo-evolutionary equations ⋮ Integrals of special functions and umbral methods

Uses Software

• DLMF

Cites Work

• The Ramanujan master theorem and its implications for special functions
• A formula for a quartic integral: a survey of old proofs and some new ones
• Ramanujan's master theorem
• Definite integrals and operational methods
• Phase-space formalism: Generalized Hermite polynomials, orthogonal functions and creation–annihilation operators
• Symbolic methods for the evaluation of sum rules of Bessel functions
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