On some continued fraction expansions for the ratios of the function
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资源简介:
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
提供机构:
University of Salento
创建时间:
2014-03-19



