A \(q\)-analogue of a general class of polynomials and its inverse (Q1184849)

This extremely interesting paper provides a basic extension of an inversion theorem of quite a general nature due to \textit{J. P. Singhal} and \textit{S. Kumari} [Indian J. Pure Appl. Math. 13, 907-911 (1982; Zbl 0495.33007)]. Reciprocity relations involving a wide variety of \(q\)- functions follow from this main result. In particular, this is adapted to give expressions in which, firstly, a \(q\)-analogue of the Laguerre polynomials, then \(q\)-Rainville polynomials and, finally, Panda polynomials [\textit{R. Panda}, Glasgow Math. J. 18, 105-108 (1977; Zbl 0329.33006)] occur naturally.