논문KCI 등재
On certain continued fraction expansions for ratios of basic hypergeometric series
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In this paper, we establish three new continued fraction expansions for the ratios of the basic hypergeometric series 2'1 by employing four q-difference equations. As particular case of these, we obtain certain new continued fractions including the continued fractions for the quotient of Ramanujan-G¨ollnitz-Gordon function.
Abstract
In this paper, we establish three new continued fraction expansions for the ratios of the basic hypergeometric series 2'1 by employing four q-difference equations. As particular case of these, we obtain certain new continued fractions including the continued fractions for the quotient of Ramanujan-G¨ollnitz-Gordon function.
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