ON THE SRIVASTAVA’S FUNCTION HB OF MATRIX ARGUMENTS

Lalit Mohan Upadhyaya; Ayman Shehata

doi:10.48165/

Authors

Lalit Mohan Upadhyaya Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand 248179, India.
Ayman Shehata Department of Mathematics, College of Science and Arts in Unaizah, Qassim University, Qassim 10363, Kingdom of Saudi Arabia

DOI:

https://doi.org/10.48165/

Keywords:

hypergeometric functions, Srivastava’s triple hypergeometric functions, Exton’s triple hypergeometric function, matrix argument, matrix transform, real positive definite, Hermitian positive definite

Abstract

We establish some integral representations for the Srivastava’s triple hypergeometric function HB of matrix arguments which generalize some of the recent results of Choi, Hasanov and Turaev [12] for this function. We prove our results by employing the Mathai’s matrix transform technique for real symmetric positive definite matrices as arguments. Towards the end of the paper we also give the corresponding results when the argument matrices are complex Hermitian positive definite.

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