On generalization of certain continued fractions (Q1175029)

Three different continued fraction expansions are given for ratios of \(q\)-hypergeometric functions \[ _ 2\phi_ 1 {a,b;x \brack c}. \] The first one is the beautiful \(q\)-analogue of the Nörlund fraction for ratios of hypergeometric functions. There seems to be a problem with the second continued fraction. It is difficult to locate the error since the author does not give a clue to how he proved the result (apart from referring to a recurrence relation by Hahn). As it stands, the given continued fraction neither corresponds to the said function at any point in the given domain nor converges to the said value for \(x=0\) in its domain of validity. For the third one the author refers to an earlier work of his. The convergence domains given for the three continued fractions are too restrictive. For the second one it is even wrong, which supports the idea of a misprint.