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http://dx.doi.org/10.4134/JKMS.2011.48.5.887

SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE  

Li, Yongqun (Department of Mathematics Hunan University)
Wang, Xiantao (Department of Mathematics Hunan Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 887-898 More about this Journal
Abstract
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.
Keywords
Bauer-Muir transformation; convergence in the modified sense; convergence in the classical sense; equality; continued fraction of generalized Rogers-Ramanujan type;
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