霍恩矩阵函数和霍恩汇合矩阵函数研究

IF 1.1 1区哲学 0 PHILOSOPHY

ANALYSIS Pub Date : 2024-05-17 DOI:10.1515/anly-2023-0057

Ravi Dwivedi, Ashish Verma

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引用次数: 0

摘要

本文给出了霍恩超几何函数的矩阵版本及其汇合情况。我们还讨论了这些超几何矩阵函数的收敛区域、双边型矩阵微分方程系、微分公式和无限求和公式。通过对这 23 个矩阵函数的研究，将完成对霍恩所列 34 个超几何级数的矩阵概括。

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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A study of Horn matrix functions and Horn confluent matrix functions

In this paper, we give the matrix version of Horn’s hypergeometric function and their confluent cases. We also discuss the regions of convergence, system of matrix differential equations of bilateral type, differential formulae and infinite summation formulae satisfied by these hypergeometric matrix functions. With the study of these 23 matrix functions, matrix generalization of Horn’s list of 34 hypergeometric series will be completed.

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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.