A unified point of view on the theory of generalized Bessel functions

DOI10.1016/0898-1221(95)00130-QzbMath0852.33002OpenAlexW2049504632MaRDI QIDQ1900552

C. Chiccoli, G. Maino, Giuseppe Dattoli, S. Lorenzutta, Amalia Torre

Publication date: 2 December 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00130-q

zbMATH Keywords

Hermite polynomialsgeneralized Bessel functionsWright functionsBessel-Clifford functionsMiller functions

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

On the regular integral solutions of a generalized Bessel differential equation ⋮ Certain properties of Gegenbauer polynomials via Lie algebra ⋮ Unnamed Item ⋮ Generalized Bessel functions and Lie algebra representation ⋮ Some formulas for ordinary and hyper Bessel-Clifford functions related to the proper Lorentz group ⋮ Analytical and numerical results on \(M\)-variable generalized Bessel functions ⋮ Lie-theoretic generating relations involving multi-variable Bessel functions of two indices ⋮ Multiplication theorems for generalized and double-index Bessel functions ⋮ Analytical and numerical computation of undulator brightness: A comparison

Cites Work

• Operational formulas connected with two generalizations of Hermite polynomials
• Theory of generalized Hermite polynomials
• Generalized Bessel functions: A group theoretic view
• Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions
• On a generalization of bessel functions
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