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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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