Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications

DOI10.1134/S1061920818010119zbMath1392.33008OpenAlexW2790185164MaRDI QIDQ1640038

Rakesh Kumar Parmar, Hari M. Srivastava, Ram Kishore Saxena

Publication date: 13 June 2018

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920818010119

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (27)

New generating functions of \(I\)-function satisfying Truesdell's \(F_q\)-equation ⋮ Some expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functions ⋮ Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ Generating functions involving the incomplete \(H\)-functions ⋮ 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 ⋮ A comparative study of the stability of some fractional-order cobweb economic models ⋮ Integral representation and computational properties of the incomplete Fox-Wright function ⋮ Observations on the McKay \(I_\nu\) Bessel distribution ⋮ A Study of Marichev-Saigo-Maeda Fractional Integral Opera- tors Associated with the S-Generalized Gauss Hypergeometric Function ⋮ Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel ⋮ Expansion formulas for a class of function related to incomplete Fox-Wright function ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ On the incomplete Srivastava’s triple hypergeometric matrix functions ⋮ Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the \(\overline{H}\)-function ⋮ The pathway fractional integrals of incomplete \(I\)-functions ⋮ CDF of non-central \(\chi^2\) distribution revisited. Incomplete hypergeometric type functions approach ⋮ On a family of the incomplete \(H\)-functions and associated integral transforms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new integral transform associated with the \(\lambda \)-extended Hurwitz-Lerch zeta function ⋮ Some fractional calculus findings associated with the incomplete \(I\)-functions ⋮ Functional estimates and integral inequalities for the Fox-Wright function ⋮ A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions ⋮ Large deflection of a circular plate with incomplete aleph functions under non-uniform load ⋮ Inclusion and convolution features of univalent meromorphic functions correlating with Mittag-Leffler function ⋮ Extended incomplete version of hypergeometric functions

Cites Work

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