Some q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q$$\end{document}-continued fractions of Ramanujan, their explicit values, and equalities

被引：0
作者：
Nipen Saikia
机构：
[1] Rajiv Gandhi University,Department of Mathematics
来源：
Afrika Matematika | 2015年 / 26卷 / 7-8期
关键词：
-Continued fraction; Ramanujan’s theta-function ; Jacobi’s triple product identity; 33D15; 11A55; 30B70;
D O I：
10.1007/s13370-014-0290-7
中图分类号：
学科分类号：
摘要：
We deduce some new q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q$$\end{document}-continued fractions from a general continued fraction identity recorded by Ramanujan in his notebook and give their theta-function representations. We also establish general formulas for explicit evaluations and prove identities on equalities of these continued fractions.
引用
收藏
页码：1359 / 1370
页数：11
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