Mellin transforms for some families of q-polynomials

Abstract

By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite 11, the Al-Salam-Carlitz 11, the big q-Laguerre, the big q-Legendre, the big q-Jacobi and the q-Hahn polynomials. (C) 2002 Elsevier Science B.V. All rights reserved.