On a family of the incomplete \(H\)-functions and associated integral transforms

DOI10.1515/JAA-2020-2040zbMath1489.44005OpenAlexW3121535793MaRDI QIDQ2043464

Devendra Kumar, Manish Bansal

Publication date: 2 August 2021

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2020-2040

zbMATH Keywords

Jacobi transform, incomplete $H$-functions, the incomplete gamma function

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) 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)

Cites Work

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• Differentiation formulas of some hypergeometric functions with respect to all parameters
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• Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials
• A certain generalized Pochhammer symbol and its applications to 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
• Generating functions for a certain class of incomplete hypergeometric polynomials
• Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions
• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function
• A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas
• Certain formulas involving a multi-index Mittag-Leffler function
• Some applications of Srivastava’s theorem involving a certain family of generalized and extended hypergeometric polynomials
• Solution of fractional kinetic equation by a class of integral transform of pathway type

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