Generating relations and multivariable Aleph-function

DOI10.1515/ANLY-2017-0054zbMath1393.33015OpenAlexW2884886989MaRDI QIDQ1653429

Dinesh Kumar, Frédéric Ayant

Publication date: 3 August 2018

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2017-0054

zbMATH Keywords

generating functionmultiple seriesAleph-function of several variablesAleph-function of two variablesmultivariable \(I\)-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)

Related Items (4)

On fractional \(q\)-integral operators involving the basic analogue of multivariable aleph-function ⋮ Finite summation formulas for the multivariable $A$-function ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials
• Generalized fractional calculus of the aleph-function involving a general class of polynomials
• Certain class of generating functions for the incomplete hypergeometric functions
• FRACTIONAL DIFFERENTIATION OF THE PRODUCT OF APPELL FUNCTION F₃AND MULTIVARIABLE H-FUNCTIONS
• Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials
• EXTENDED HYPERGEOMETRIC FUNCTIONS OF TWO AND THREE VARIABLES
• The multivariable H-function and the general class of Srivastava polynomials involving the generalized Mellin-Barnes contour integrals

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