SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE

- Journal title : Journal of the Korean Mathematical Society
- Volume 48, Issue 5, 2011, pp.887-898
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2011.48.5.887

Title & Authors

SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE

Li, Yongqun; Wang, Xiantao;

Li, Yongqun; Wang, Xiantao;

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;

Language

English

Cited by

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