Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\)

DOI10.1016/0022-247X(90)90158-CzbMath0719.33007MaRDI QIDQ2640002

Allen R. Miller

Publication date: 1990

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

zbMATH Keywords

incomplete Lipschitz-Hankel integrals

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Linearization coefficients for Boas-Buck polynomial sets ⋮ Representations for incomplete 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

Cites Work

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• Incomplete Lipschitz-Hankel integrals of MacDonald functions
• A Lipschitz-Hankel integral of \(K_ 0\)
• Incomplete Lipschitz-Hankel integrals of Bessel functions
• A note on incomplete integrals of cylindrical functions
• Expansion formulas for generalized hypergeometric functions

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