ON FUNCTIONS OF A SINGLE MATRIX ARGUMENT - III

Abstract

We prove some Eulerian integrals involving the hypergeometric functions of single matrix argument. The integrals studied here involve the and the functions of matrix argument. We apply the Mathai’s matrix transform technique to prove our results which provide a generalization of the corresponding results available in the literature for these functions for the case of scalar variables. At the end we also give the corresponding results when the argument matrices are complex Hermitian positive definite.

Authors and Affiliations

Lalit Mohan Upadhyaya

Keywords

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  • EP ID EP531771
  • DOI 10.5958/2320-3226.2018.00040.1
  • Views 124
  • Downloads 0

How To Cite

Lalit Mohan Upadhyaya (2018). ON FUNCTIONS OF A SINGLE MATRIX ARGUMENT - III. Bulletin of Pure and Applied Sciences Sec. E - Mathematics and Statistics, 37(2), 375-382. https://europub.co.uk/articles/-A-531771