• Hypergeometric series and continued fractions

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0277-0296

    • Keywords

       

      Hypergeometric series; continued fractions; q-series; Lost Notebook; three-term relations; modular functions

    • Abstract

       

      Ramanujan’s results on continued fractions are simple consequences of three-term relations between hypergeometric series. Theirq-analogues lead to many of the continued fractions given in the ‘Lost’ notebook in particular the famous one considered by Andrews and others.

    • Author Affiliations

       

      K G Ramanathan1

      1. A1 Sree Krishna Dham, 70 L B S Marg, Bombay - 400080, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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