A new continued fraction of Ramanujan, its modular identities and explicit evaluations

被引:3
|
作者
Saikia N. [1 ]
机构
[1] Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, 791112, Arunachal Pradesh
关键词
Continued fraction; Modular equation; Theta-function;
D O I
10.1007/s13370-013-0215-x
中图分类号
学科分类号
摘要
In this paper, we deduce a new continued fraction from a general continued fraction identity of Ramanujan and prove its modular identities. We also establish general theorems for its explicit evaluations with examples. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:407 / 417
页数:10
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