Some new results for the Srivastava-Luo-Raina \(\mathbb{M}\)-transform pertaining to the incomplete \(H\)-functions

DOI10.3934/math.2020048zbMath1484.33019MaRDI QIDQ2132820

Yanyan Li

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

zbMATH Keywords

gamma functionincomplete gamma functionsincomplete \(H\)-functionsincomplete Fox-Wright generalized hypergeometric functionsMellin-Barnes type contourSrivastava-Luo-Raina \(\mathbb{M}\)-transform

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) 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)

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Cites Work

• A new integral transform and its applications
• Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications
• A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions
• The H-Function
• A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function
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