On the Mellin transform of products of Bessel and generalized hypergeometric functions

DOI10.1016/S0377-0427(97)00129-5zbMath0889.44004WikidataQ127774104 ScholiaQ127774104MaRDI QIDQ1375449

Allen R. Miller

Publication date: 28 January 1998

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

zbMATH Keywords

Mellin transformasymptotic expansiongeneralized hypergeometric functionsproduct of Bessel functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (7)

On new formulas for the cumulative distribution function of the noncentral chi-square distribution ⋮ Summations of Schlömilch series containing Struve function terms ⋮ A class of generalized hypergeometric summations ⋮ Asymptotic expansion of a Bessel function integral using hypergeometric functions ⋮ Summations of Schlömilch series containing some Lommel functions of the first kind terms ⋮ Weber–Schafheitlin-type integrals with exponent 1 ⋮ On the critical case of the Weber-Schafheitlin integral and a certain generalization

Cites Work

• Irreducible recurrences and representation theorems for \(_ 3F_ 2(1)\)
• On certain Schlömilch-type series
• Sonine-Gegenbauer-type integrals
• The special functions and their approximations. Vol. I, II
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• On the Mellin transform of a product of hypergeometric functions
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