Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2007.02.06
  • Published : 2011.09.01
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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

References

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  1. Some $$q$$ q -continued fractions of Ramanujan, their explicit values, and equalities vol.26, pp.7-8, 2015, https://doi.org/10.1007/s13370-014-0290-7