A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions

DOI10.1007/s40819-019-0718-8zbMath1428.26010OpenAlexW2971424839WikidataQ127308120 ScholiaQ127308120MaRDI QIDQ2334702

Junesang Choi, Manish Bansal

Publication date: 7 November 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0718-8

zbMATH Keywords

gamma functionRiemann-Liouville fractional integral operatorsincomplete gamma functionsincomplete \(H\)-functionspathway fractional integral operatorincomplete Fox-Wright generalized hypergeometric functionsMellin-Barnes type contour

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Other functions defined by series and integrals (33E20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (10)

Some expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functions ⋮ On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\) ⋮ Some new results for the Srivastava-Luo-Raina \(\mathbb{M}\)-transform pertaining to the incomplete \(H\)-functions ⋮ On the integral operators pertaining to a family of incomplete \(I\)-functions ⋮ Fractional order models for viscoelasticity in lung tissues with power, exponential and Mittag-Leffler memories ⋮ The pathway fractional integrals of incomplete \(I\)-functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Certain unified integrals associated with product of the general class of polynomials and incomplete \(I\)-functions

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