NEW IDENTITIES FOR RAMANUJAN'S CUBIC CONTINUED FRACTION

被引：1

作者：

Naika, M. S. Mahadeva ^{[1
]}

Chandankumar, S. ^{[1
]}

Bairy, K. Sushan ^{[1
]}

机构：

[1] Bangalore Univ, Dept Math, Cent Coll Campus, Bangalore 560001, Karnataka, India

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2012年 / 46卷 / 01期

关键词：

Cubic continued fraction; Modular equation; Theta-function;

D O I：

10.7169/facm/2012.46.1.3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some new identities providing relations between Ramanujan's cubic continued fraction V(q) and the other three continued fractions V (q(9)), V (q(17)) and V (q(19)). In the process, we establish some new modular equations for the ratios of Ramanujan's theta functions. We also establish some general formulas for the explicit evaluations of ratios of Ramanujan's theta functions.

引用

页码：29 / 44

页数：16

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