G-continued fractions for basic hypergeometric functions II

  • Bowman D
  • Choi G
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Abstract

In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables. As an application we obtain a G-continued fraction extension of the Rogers-Ramanujan continued fraction. © 2003 Elsevier Inc. All rights reserved.

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Authors

  • Douglas Bowman

  • Geumlan Choi

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