论 Beta 族的一类积分：数列表示和分数映射

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-11 DOI:10.1007/s00009-024-02639-8

Dilip Kumar, M. A. Pathan

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引用次数: 0

摘要

本文的重点是贝塔族的两个广义积分。考虑到贝塔族的广义积分，通过广义特殊函数创建了数列和积分表示。本文还涉及西乡、黎曼-刘维尔和科贝尔算子与扩展贝塔函数的分数映射。经典贝塔函数和扩展贝塔函数的结果被证明为特例。

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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On a Class of Integrals of Beta Family: Series Representations and Fractional Maps

Two generalized integrals of the beta family are the prime focus of this paper. By taking into account the generalized integral of the beta family, the series and integral representations are created through generalized special functions. Also covered are the fractional maps of Saigo, Riemann–Liouville, and Kober operators with the extended beta function. Results for classical beta function and extended beta functions were proved as special cases.

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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.