SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE

被引：1
|
作者：
Li, Yongqun [1 ]
Wang, Xiantao [2 ]
机构：
[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China
[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 05期
关键词：
Bauer-Muir transformation; convergence in the modified sense; convergence in the classical sense; equality; continued fraction of generalized Rogers-Ramanujan type;
D O I：
10.4134/JKMS.2011.48.5.887
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first discuss the convergence of the continued fractions of generalized Rogers-Ramanujan type in the modified sense. Then we prove several equalities concerning these continued fractions. The proofs of our main results are mainly based on the Bauer-Muir transformation.
引用
收藏
页码：887 / 898
页数：12
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