학술논문
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals.
Document Type
Article
Author
Source
Subject
*ELLIPTIC integrals
*ANALYTIC functions
*INTEGRAL transforms
*INTEGRALS
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Language
ISSN
1065-2469
Abstract
We apply a method of semi-integration by parts (SIBP) that we had previously derived and formulated using the semi-derivative and semi-primitive operators. We obtain many new results on integrals involving the complete elliptic integrals as integrand factors, building on the work of Glasser, Cantarini, Wan, and Zhou. Our main results have not appeared in past literature concerning integrals involving products of the complete elliptic integral(s) of the first and/or second kinds. Furthermore, many previously known identities for such integrals are special cases of our SIBP identity for analytic functions. [ABSTRACT FROM AUTHOR]