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On some generalizations of Ramanujan’s continued fraction identities |
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| Authors: | S. Bhargava Chandrashekar Adiga D. D. Somashekara |
| Affiliation: | (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. |
| Keywords: | q-continued fractions Rogers-Ramanujan continued fractions basic hypergeometric series |
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