A certain class of biorthogonal polynomials associated with the Laguerre polynomials

摘要

The main object of this paper is to present some general families of bilinear, bilateral, or mixed multilateral generating functions for some biorthogonal polynomials which are associated rather closely with the classical Laguerre polynomials. Relevant connections of the results considered here with those that were given in earlier works, especially from the viewpoint of Lie groups and Lie algebras, are also discussed briefly.