A note on incomplete integrals of cylindrical functions

DOI10.1016/0016-0032(89)90052-5zbMath0683.33006OpenAlexW2059184616MaRDI QIDQ1824741

Allen R. Miller

Publication date: 1989

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(89)90052-5

zbMATH Keywords

cylindrical functionLipschitz-Hankel integral

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Sonine-Gegenbauer-type integrals ⋮ Representations for incomplete integrals of cylindrical functions ⋮ Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\) ⋮ Incomplete Weber integrals of cylindrical functions ⋮ Incomplete Lipschitz-Hankel integrals of Struve functions ⋮ Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions ⋮ Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions ⋮ Incomplete Lipschitz-Hankel integrals of Anger and Weber functions ⋮ On certain generalized incomplete gamma functions

Cites Work

• Incomplete Lipschitz-Hankel integrals of MacDonald functions
• An incomplete Lipschitz-Hankel integral of \(K_ 0\)
• A Lipschitz-Hankel integral of \(K_ 0\)
• Incomplete Lipschitz-Hankel integrals of Bessel functions
• Expansion formulas for generalized hypergeometric functions
• Theory of Incomplete Cylindrical Functions and their Applications

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