| 题名 |
Some New Modular Equations and their Applications |
| DOI |
10.6988/TOJIMS.201211.0437 |
| 作者 |
M. S. Mahadeva Naika；S. Chandankumar |
| 关键词 |
Modular equation ； Theta-function ； Continued fraction |
| 期刊名称 |
Tamsui Oxford Journal of Information and Mathematical Sciences |
| 卷期/出版年月 |
28卷4期（2012 / 11 / 01） |
| 页次 |
437 - 469 |
| 内容语文 |
英文 |
| 英文摘要 |
In this paper, we establish several new modular equations of degree two by using Ramanujan's modular equations. We obtain several general formulas for the explicit evaluations of ratios of Ramanujan's theta-functions φ. We also establish some new explicit evaluations for Ramanujan-Göllnitz-Gordon continued fraction, Ramanujan-Selberg continued fraction and a continued fraction of Eisenstein. |
| 主题分类 |
基礎與應用科學 >
數學 基礎與應用科學 > 資訊科學 |
