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- W2169841346 abstract "In his lost notebook, Ramanujan has defined the function by begin{equation*} rho(a ,~b) := left(1 +frac{1}{b}right)sum_{n=0}^{infty} frac{(-1)^{n}q^{n(n+1)/2} {a}^{n}{b}^{-n}}{(-aq)_{n}}, end{equation*} where and and has given a beautiful reciprocity theorem involving . In this paper we obtain some continued fraction expansions for the ratios of 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" @default.
- W2169841346 created "2016-06-24" @default.
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- W2169841346 date "2014-12-02" @default.
- W2169841346 modified "2023-09-22" @default.
- W2169841346 title "On some continued fraction expansions for the ratios of the function" @default.
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- W2169841346 doi "https://doi.org/10.1285/i15900932v33n2p35" @default.
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