Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-10-09 DOI:10.1080/10652469.2022.2128798

J. Campbell

引用次数: 1

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.

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Caputo算子在求解clebsch - gordan型多重椭圆积分中的应用

我们应用了一种半部分积分(SIBP)方法，这种方法是我们以前用半导数和半原始算子推导和表述的。在Glasser、Cantarini、Wan、Zhou等人的工作基础上，我们得到了以完全椭圆积分为被积因子的积分的许多新结果。我们的主要结果还没有出现在过去的文献中，涉及积分的乘积的完全椭圆积分(s)的第一类和/或第二类。此外，许多已知的这类积分的恒等式是解析函数的SIBP恒等式的特例。

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

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

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