Extended Horn’s hypergeometric function H11∗

M S Metwally; S Abo-Hasha; Karima Hamza

doi:10.48165/bpas.2023.42E.1.6

Authors

M S Metwally Department of Mathematics, Faculty of Science (Suez), Suez University, Egypt.
S Abo-Hasha Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Karima Hamza Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt.

DOI:

https://doi.org/10.48165/bpas.2023.42E.1.6

Keywords:

Horn’s hypergeometric function H11, the generalization of the Pochham mer symbol, limit formulas, recursion formulas, Laplace transform, Mellin transform, Fourier transform, Upadhyaya transform

Abstract

In this paper we introduce an extension of the Horn’s hypergeometric function H11. Furthermore, we investigate the limit formulas, integral representations, differentiation formulas, infinite sums, recursion formulas, Laplace, Mellin and fractional Fourier transforms for the extended Horn’s hypergeometric function H11. Finally, we discuss double Laplace and double Mellin transforms of this function.

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