Extended k-Gamma and k-Beta Functions of Matrix Arguments

Ghazi S. Khammash, Praveen Agarwal and Junesang Choi
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Ghazi S. Khammash: Department of Mathematics, Al-Aqsa University, Gaza Strip 79779, Palestine
Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Junesang Choi: Department of Mathematics, Dongguk University, Gyeongju 38066, Korea

Mathematics, 2020, vol. 8, issue 10, 1-13

Abstract: Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented and studied. In this paper, we aim to introduce an extended k-gamma function of a matrix argument and an extended k-beta function of matrix arguments and investigate some of their properties such as functional relations, inequality, integral formula, and integral representations. Also an application of the extended k-beta function of matrix arguments to statistics is considered.

Keywords: k-gamma function; k-beta function; gamma function of a matrix argument; beta function of matrix arguments; extended gamma function of a matrix argument; extended beta function of matrix arguments; k-gamma function of a matrix argument; k-beta function of matrix arguments; extended k-gamma function of a matrix argument; extended k-beta function of matrix arguments (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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