SOME FAMILIES OF GENERATING FUNCTIONS FOR THE q-KONHAUSER POLYNOMIALS
SOME FAMILIES OF GENERATING FUNCTIONS FOR THE q-KONHAUSER POLYNOMIALS
The $q$-Konhauser polynomials, which were introduced and investigated in several recent works, are $q$-biorthogonal with respect to the weight function $x^{\alpha }\;e_{q}(-x)$ over the semi-infinite interval $(0,\infty )$. In the present paper, we derive various families of multilinear and multilateral generating functions for these $q$-Konhauser polynomials. We also briefly consider …