EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES

被引：1

作者：

Paek, Dae Hyun ^{[1
]}

机构：

[1] Busan Natl Univ Educ, Dept Math Educ, Busan 47503, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2021年 / 28卷 / 04期

关键词：

theta-function; modular equation; theta-function identity; Rogers- Ramanujan continued fraction; EXPLICIT EVALUATIONS;

D O I：

10.7468/jksmeb.2021.28.4.377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use theta-function identities involving parameters l(5)(,n), l(5,n)', and l(5,n)', to evaluate the Rogers-Ramanujan continued fractions R(e(-2 pi root n/20)) and S(e(-pi root n/5)) for some positive rational numbers n.

引用

页码：377 / 386

页数：10

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