2013 •
On some continued fraction expansions for the ratios of the function
Authors: Somashekara, D.D., Shalini, S.L., Narasimha Murthy, K.
Venue: University of Salento
Type: Dataset
Abstract: In his lost notebook, Ramanujan has defined a function and has given a beautiful reciprocity theorem involving $\rho(a,~b)$. In this paper we obtain some continued fraction expansions for the ratios of $\rho(a,~b)$ with some of its contiguous functions. We also obtain some interesting special cases of our continued fraction expansions which are analogous to the continued fraction identities stated by Ramanujan.\end
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