In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables. As an application we obtain a G-continued fraction extension of the Rogers-Ramanujan continued fraction. © 2003 Elsevier Inc. All rights reserved.
Bowman, D., & Choi, G. (2003). G-continued fractions for basic hypergeometric functions II. Journal of Mathematical Analysis and Applications, 284(2), 435–446. https://doi.org/10.1016/S0022-247X(02)00521-8