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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0031-0043

    • Keywords

       

      q-continued fractions; Rogers-Ramanujan continued fractions; basic hypergeometric series

    • Abstract

       

      In this note we establish continued fraction developments for the ratios of the basic hypergeometric function2ϕ1(a,b;c;x) with several of its contiguous functions. We thus generalize and give a unified approach to establishing several continued fraction identities including those of Srinivasa Ramanujan.

    • Author Affiliations

       

      S Bhargava1 Chandrashekar Adiga1 D D Somashekara2

      1. Department of Mathematics, Manasagangotri, University of Mysore, Mysore - 570006, India
      2. Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysore - 570005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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