Generalized fractional calculus of the aleph-function involving a general class of polynomials

DOI10.1016/S0252-9602(15)30042-4zbMath1349.26018OpenAlexW1004919192MaRDI QIDQ530664

Ram Kishore Saxena, Dinesh Kumar

Publication date: 10 August 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(15)30042-4

zbMATH Keywords

Mittag-Leffler function\(H\)-function\(I\)-functiongeneralized Bessel-Maitland functiongeneralized fractional calculus operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (8)

Application of Product of the Multivariable $A$-Function and the Multivariable Srivastava's Polynomials ⋮ Generating relations and multivariable Aleph-function ⋮ FINITE INTEGRAL FORMULA INVOLVING ALEPH–FUNCTION AND GENERALIZED MITTAG–LEFFLER FUNCTION ⋮ CERTAIN INTEGRALS INVOLVING THE PRODUCT OF GAUSSIAN HYPERGEOMETRIC FUNCTION AND ALEPH FUNCTION ⋮ Unnamed Item ⋮ Certain integral involving the product of Srivastava polynomials and special functions ⋮ Applications to give an analytical solution to the Black Scholes equation ⋮ Fractional calculus pertaining to multivariable \(I\)-function defined by Prathima

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