Theorems on Analogous of Ramanujan's Remarkable Product of Theta-Function and Their Explicit Evaluations

被引：0
|
作者：
Dharmendra, B. N. [1 ]
Kumar, S. Vasanth [2 ]
机构：
[1] Maharanis Sci Coll Women, Postgrad Dept Math, Mysuru 570005, India
[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷
关键词：
Class invariant; Modular equation; Theta-function; Cubic continued fraction; CONTINUED-FRACTION;
D O I：
10.5269/bspm.43200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we define E-m,E-n for any positive real numbers m and n involving Ramanujan's product of theta-functions psi(-q) and f(q), which is analogous to Ramanujan's remarkable product of thetafunctions and establish its several properties by Ramanujan. We establish general theorems for the explicit evaluations of E-m,E-n and its explicit values.
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页数：10
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