霍恩矩阵函数和霍恩汇合矩阵函数研究

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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