The Rogers-Ramanujan continued fraction

被引：23

作者：

Berndt, BC

Chan, HH

Huang, SS

Kang, SY

Sohn, J

Son, SH

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[3] Natl Chang Hua Univ Educ, Dept Math, Changhua, Taiwan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 105卷 / 1-2期

关键词：

Rogers-Ramanujan continued fraction; Ramanujan's lost notebook; theta-function; modular equation; explicit evaluation;

D O I：

10.1016/S0377-0427(99)00033-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A survey of many theorems on the Rogers-Ramanujan continued fraction is provided. Emphasis is given to results from Ramanujan's lost notebook that have only recently been proved. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：9 / 24

页数：16

共 36 条

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[2] RAMUNUJAN LOST NOTEBOOK .3. THE ROGERS-RAMANUJAN CONTINUED-FRACTION
ANDREWS, GE
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[8] SOME VALUES FOR THE ROGERS-RAMANUJAN CONTINUED-FRACTION
BERNDT, BC
CHAN, HH
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[10] Ramanujan's class invariants, Kronecker's limit formula, and modular equations
Berndt, BC
Chan, HH
Zhang, LC
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (06) : 2125 - 2173

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