(1) Department of Mathematics, Manasagangotri, University of Mysore, 570006 Mysore, India;(2) Department of Mathematics, Yuvaraja’s College, University of Mysore, 570005 Mysore, India
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.