K G Ramanathan
Articles written in Proceedings – Mathematical Sciences
Volume 93 Issue 2-3 December 1984 pp 67-77
On the Rogers-Ramanujan continued fraction
In the “Lost” note book, Ramanujan had stated a large number of results regarding evaluation of his continued fraction$$R(\tau ) = \frac{{exp2\pi i\tau /}}{{1 + }}\frac{{5exp(2\pi i\tau )}}{{1 + }}\frac{{exp(4\pi i\tau )}}{{1 + }}...$$ for certain values of τ. It is shown that all these results and many more have their source in the Kronecker limit formula.
Volume 97 Issue 1-3 December 1987 pp 277-296
Hypergeometric series and continued fractions
Ramanujan’s results on continued fractions are simple consequences of three-term relations between hypergeometric series. Their
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