Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions

IF 1.1 1区哲学 0 PHILOSOPHY

ANALYSIS Pub Date : 2024-01-03 DOI:10.1515/anly-2023-0068

Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar

引用次数: 0

Abstract

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.

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Ψ-伽马、Ψ-贝塔和Ψ-超几何矩阵函数的一些性质

摘要本文研究了 Ψ-beta 和 Ψ-gamma 函数的矩阵类似物及其性质。在 Ψ-beta 矩阵函数 (BMF) 的帮助下，我们引入了 Ψ-Gauss 超几何矩阵函数 (GHMF) 和 Ψ-Kummer 超几何矩阵函数 (KHMF)，并推导出这些矩阵函数的某些性质。最后，通过Ψ-BMF 的应用定义了 Ψ-Appell 和 Ψ-Lauricella 矩阵函数，并给出了它们的积分表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ANALYSIS PHILOSOPHY-

CiteScore

1.30

自引率

12.50%

发文量

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.