The Hermite polynomials and the Bessel functions from a general point of view

DOI10.1155/S0161171203211133zbMath1082.33002OpenAlexW2166272570MaRDI QIDQ1415211

Giuseppe Dattoli, Dario Sacchetti, Hari M. Srivastava

Publication date: 3 December 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52141

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) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (6)

Repeated derivatives of composite functions and generalizations of the Leibniz rule ⋮ The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Unnamed Item ⋮ The truncated exponential polynomials, the associated Hermite forms and applications ⋮ Generalizations on Humbert polynomials and functions ⋮ Some Srivastava-Brafman type generating relations for a general class of multi-index and multi-variable Gould-Hopper and Dattoli type hypergeometric polynomials

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