The Bi-Fox-Wright Function Srivastava Triple Hypergeometric Function (_^Ψ)H_(A;p,q)^(m,n) (.)  and Applications of the Multiple Laplace Transform

Umar Muhammad Abubakar; Muhammad Lawan  Kaurangini

doi:10.5269/bspm.81689

The Bi-Fox-Wright Function Srivastava Triple Hypergeometric Function (_^Ψ)H_(A;p,q)^(m,n) (.) and Applications of the Multiple Laplace Transform

Bi-Fox-Wright Function Srivastava Triple Hypergeometric Function

Umar Muhammad Abubakar ALIKO DANGOTE UNIVERSITY OF SCIENECE AND TECHNOLOGY, WUDIL https://orcid.org/0000-0003-3935-4829
Muhammad Lawan Kaurangini Department of Mathematics, Aliko Dangote University of Science and Technology, Wudil, Kano State, Nigeria https://orcid.org/0000-0001-9144-9433

DOI: https://doi.org/10.5269/bspm.81689

Résumé

The aim of this work is to introduce bi-Fox-Wright Function Srivastava triple hypergeometric function that includes two Fox-Wright functions as its kernel, demonstrating how it simplifies to certain established results in the literature. The discussion includes properties such as integral representations, differential formulas, and recurrence relations. Additionally, connections between the double Mellin transform and the Laplace transform are established.

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Biographie de l'auteur

Umar Muhammad Abubakar, ALIKO DANGOTE UNIVERSITY OF SCIENECE AND TECHNOLOGY, WUDIL

Lecturer I in the Department of Mathematics at Aliko Dangote University of Science and Technology, Wudil, Kano State, Nigeria, with interests in special functions, integral transforms, and fractional calculus. I have completed my PhD in Mathematics and am currently awaiting my viva voce.