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.

引用

页数：10

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