Some classes of generating functions associated with a certain family of extended and generalized hypergeometric functions

DOI10.1016/J.AMC.2014.05.074zbMath1335.33005OpenAlexW2086583481MaRDI QIDQ279867

Rekha Srivastava

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.074

zbMATH Keywords

Gauss hypergeometric functiongamma and extended gamma functionsgeneralized and extended hypergeometric functions and polynomialslinear, bilinear and bilateral (or mixed multilateral) generating functionsPochhammer's symbol and its extended version

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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Generalized Extended Riemann-Liouville Type Fractional Derivative Operator ⋮ On the integral operators pertaining to a family of incomplete \(I\)-functions ⋮ Generating functions for the generalized Gauss hypergeometric 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 ⋮ Unnamed Item ⋮ Extended Mittag-Leffler function and associated fractional calculus operators ⋮ Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions ⋮ Extended incomplete Riemann-Liouville fractional integral operators and related special functions ⋮ Incomplete Caputo fractional derivative operators ⋮ Unnamed Item ⋮ Generalized Srivastava's triple hypergeometric functions and their associated properties ⋮ On a family of the incomplete \(H\)-functions and associated integral transforms ⋮ On an extension of the generalized Pochhammer symbol and its applications to hypergeometric functions ⋮ A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions ⋮ A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas ⋮ Extended incomplete version of hypergeometric functions ⋮ Extended \(\tau\)-hypergeometric functions and associated properties

Cites Work

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• Some properties of a family of incomplete hypergeometric functions
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials
• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Extended hypergeometric and confluent hypergeometric functions
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• Generating functions for a certain class of incomplete hypergeometric polynomials
• The incomplete second Appell hypergeometric functions
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions

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