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.
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页码：491 / 504
页数：14
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