A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas

DOI10.2298/FIL1701125SzbMath1488.33025OpenAlexW2590135916MaRDI QIDQ5005321

Sonal Jain, Ritu Agarwal, Rekha Srivastava

Publication date: 9 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1701125s

zbMATH Keywords

integral transformsgamma and beta functionsincomplete gamma functionsKampé de Fériet functionincomplete Pochhammer symbolsfractional derivative operators of the Erdélyi-Kober- and other typesfractional derivative operators of the Riemann-Liouville-typefractional derivative operators of the Weyl-typehypergeometric and incomplete hypergeometric functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (10)

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright 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 ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ An extension of beta function, its statistical distribution, and associated fractional operator ⋮ Fractional calculus involving \((p, q)\)-Mathieu type series ⋮ Certain fractional calculus formulas involving extended generalized Mathieu series ⋮ Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions ⋮ Certain generating relations involving the generalized multi-index Bessel-Maitland function ⋮ Fractional integration and differentiation of the generalized Mathieu series ⋮ On a family of the incomplete \(H\)-functions and associated integral transforms

Cites Work

• Some classes of generating functions associated with a certain family of extended and generalized hypergeometric functions
• Generating functions for the generalized Gauss hypergeometric functions
• Some properties of a family of incomplete hypergeometric functions
• Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials
• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Erratum to: ``Differentiation formulas of some hypergeometric functions with respect to all parameters
• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
• A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions
• Generating functions for a certain class of incomplete hypergeometric polynomials
• Sulla funzione gamma incompleta
• Fractional Dynamics
• Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Further results on a generalized gamma function occurring in diffraction theory
• Asymptotic expansions for generalized gamma and incomplete gamma functions
• 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
• Use of the generalized Lommel–Wright function in a unified presentation of the Gamma-type functions occurring in diffraction theory and associated probability distributions
• Operators of fractional integration and their applications
• On Generalized Gamma Functions Occurring in Diffraction Theory^*
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