On incomplete elliptic integrals related to Ramanujan's theta functions

被引：0

作者：

Vasuki, K. R. ^{[1
]}

Vinay, G. ^{[2
]}

机构：

[1] Univ Mysore, Dept Studies Math, Mysuru 570006, Karnataka, India

[2] Univ Mysore, Yuvarajas Coll, Dept Math, Mysuru 570005, Karnataka, India

来源：

JOURNAL OF ANALYSIS | 2022年 / 30卷 / 04期

关键词：

Modular equations; Theta functions; Incomplete elliptic integrals; Eisenstein series;

D O I：

10.1007/s41478-022-00414-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On Pages 51-53 of his lost notebook, Ramanujan recorded some incomplete elliptic integrals of first kind. In this article, we deduce three new incomplete elliptic integral of that kind.

引用

页码：1485 / 1495

页数：11

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