Incomplete Lipschitz-Hankel integrals of Bessel functions

DOI10.1016/0022-247X(89)90079-6zbMath0679.33006MaRDI QIDQ1822667

Allen R. Miller

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

reduction of hypergeometric functions

Mathematics Subject Classification ID

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

Related Items (11)

Sonine-Gegenbauer-type integrals ⋮ Representations for incomplete integrals of cylindrical functions ⋮ Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\) ⋮ On new formulae for cumulative distribution function for McKay Bessel distribution ⋮ Observations on the McKay \(I_\nu\) Bessel distribution ⋮ 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 ⋮ A note on incomplete integrals of cylindrical functions ⋮ Incomplete Lipschitz-Hankel integrals of Anger and Weber functions ⋮ On certain generalized incomplete gamma functions

Cites Work

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