CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

DOI10.5831/HMJ.2016.38.4.739zbMath1382.33014MaRDI QIDQ4603398

Bhupender Singh Shaktawat, R. K. Gupta, Dinesh Kumar

Publication date: 20 February 2018

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Laplace transformMellin transformfractional calculusgeneralized Gauss hypergeometric functiongeneralized Pochhammer symbolgeneralized \(\tau\)-Gauss hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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)

Related Items

On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator, CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION

Cites Work

• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions
• Extended \(\tau\)-hypergeometric functions and associated properties
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