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
收藏
页码:1485 / 1495
页数:11
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