Extended \(\tau\)-hypergeometric functions and associated properties

DOI10.1016/J.CRMA.2015.01.016zbMath1321.33010OpenAlexW2010349692MaRDI QIDQ2346882

Rakesh Kumar Parmar

Publication date: 5 June 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.01.016

zbMATH Keywords

hypergeometric functionsMellin transformsRiemann-Liouville fractional calculus operatorsgeneralized Pochhammer symbol

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (8)

Extended Mittag-Leffler function and associated fractional calculus operators ⋮ On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator ⋮ Some properties of extended $tau$-hypergeometric function ⋮ CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION ⋮ On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions ⋮ Unnamed Item ⋮ Generalized Srivastava's triple hypergeometric functions and their associated properties ⋮ A new extension of the Pochhammer symbol and its application to hypergeometric functions

Cites Work

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• Extension of gamma, beta and hypergeometric functions
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• Further results on generalized hypergeometric functions
• Extended incomplete gamma functions with applications
• Generalized incomplete gamma functions with applications
• Generating functions for a certain class of incomplete hypergeometric polynomials
• Some results on a generalized hypergeometric function
• Generating Functions for Bessel and Related Polynomials

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