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

页码：887 / 898

页数：12

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