Integral representations of Eta functions and fractional calculus

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-18 DOI:10.1007/s11075-024-01885-x

Salameh Sedaghat, Francisco Marcellán

引用次数: 0

Abstract

In this contribution we deal with Eta functions and their representations as fractional derivatives and fractional integrals. A class of fractional Sturm-Liouville eigenvalue problems is studied. The analytic representation of their eigensolutions is pointed out as well as the orthogonality of the corresponding eigenfunctions.

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埃塔函数的积分表示法和分数微积分

在这篇论文中，我们讨论了 Eta 函数及其作为分数导数和分数积分的表示形式。我们研究了一类分数 Sturm-Liouville 特征值问题。指出了其特征解的解析表示以及相应特征函数的正交性。

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

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.