Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar
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Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
Abstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
期刊介绍:
Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.