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.
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页码：377 / 386
页数：10
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