Erdélyi-type integrals for generalized hypergeometric functions with integral parameter differences

DOI10.1080/10652469.2017.1312367zbMath1373.33010OpenAlexW2605531435MaRDI QIDQ5269329

Min-Jie Luo, Ravinder Krishen Raina

Publication date: 15 June 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1312367

zbMATH Keywords

generalized hypergeometric functionfractional integrationseriesEuler-type transformationsThomae-type transformations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

Generating functions of Pollaczek polynomials: a revisit ⋮ On certain results related to the hypergeometric function \(F_K\)

Cites Work

• Extensions of certain classical integrals of Erdélyi for Gauss hypergeometric functions.
• Automatic generation of hypergeometric identities by the beta integral method.
• Transformation formulas for the generalized hypergeometric function with integral parameter differences
• An extension of Saalschütz's summation theorem for the series_r+3F_r+2
• Solution of Abel-type integral equation involving the Appell hypergeometric function
• A TRANSFORMATION OF EULERIAN HYPERGEOMETRIC INTEGRALS
• TRANSFORMATION OF HYPERGEOMETRIC INTEGRALS BY MEANS OF FRACTIONAL INTEGRATION BY PARTS
• ON SOME BIORTHOGONAL SETS OF FUNCTIONS

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