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J. Korean Math. Soc. 2011; 48(5): 887-898

Printed September 1, 2011

https://doi.org/10.4134/JKMS.2011.48.5.887

Copyright © The Korean Mathematical Society.

Some equalities for continued fractions of generalized Rogers-Ramanujan type

Yongqun Li and Xiantao Wang

Hunan University, Hunan Normal University

Abstract

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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

MSC numbers: Primary 40A15; Secondary 11J70

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