THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS

DOI10.4134/JKMS.2016.53.2.363zbMath1341.33001OpenAlexW2328403685MaRDI QIDQ2813357

Ram Kishore Saxena, Rakesh Kumar Parmar

Publication date: 23 June 2016

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2016.53.2.363

zbMATH Keywords

fractional calculusPochhammer symbolgamma functionsincomplete gamma functionsincomplete Pochhammer symbolsEuler-Beta transformgeneralized \(\tau\)-hypergeometric functionsincomplete generalized \(\tau\)-hypergeometric functionsincomplete generalized hypergeometric functionsincomplete second \(\tau\)-Appell functionincomplete second Appell functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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Unified fractional integral and derivative formulas, integral transforms of incomplete \(\tau \)-hypergeometric function ⋮ Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications ⋮ Incomplete Caputo fractional derivative operators ⋮ Unnamed Item ⋮ Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions ⋮ Unnamed Item

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