Integral representations of Eta functions and fractional calculus

被引：1

作者：

Sedaghat, Salameh ^{[1
]}

Marcellan, Francisco ^{[2
]}

机构：

[1] Buein Zahra Tech Univ, Dept Math, Qazvin, Iran

[2] Univ Carlos III Madrid, Dept Matemat, Leganes, Spain

来源：

NUMERICAL ALGORITHMS | 2024年

关键词：

Eta functions; Sturm-Liouville eigenvalue problems; Fractional calculus; Special functions;

D O I：

10.1007/s11075-024-01885-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：491 / 504

页数：14

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