In this paper we establish certain continued fractions representation for the ratio of two $_2\Psi_2$’s. We also discuss certain continued fraction representation for the ratio of two $_3\Psi_2$’s with two bases and $_4\Psi_3$’s with one base.
Keywords and Phrases
Basic bilateral hypergeometric series, continued fraction, basic hypergeometric series and poly-basic q-series.
A.M.S. subject classiﬁcation
Primary 33D15, 33D65, Secondary 11A55.