A note on mock \(\theta\)-functions of order three and continued fractions (Q935672)

The author gives continued fraction representations for 7 third order mock \(\theta\)-functions that include 4 original third order mock \(\theta\)-functions discovered by Ramanujan. The author basically defines all 7 mock \(\theta\)-functions in terms of \({}_{2}\phi_{1}\) basic hypergeometric series and then utilize the continued fraction representation of \({}_{2}\phi_{1}\) series given by \textit{R. P. Agarwal, H. L. Manocha} and \textit{K. S. Rao} [Selected Topics in Special Functions, Allied Publishers Limited, New Delhi (2001)].