Integral representations of Eta functions and fractional calculus

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms 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

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.