Abstract
The main object of the present paper is to prove a general theorem on bilinear, bilateral, or mixed multilateral generating functions for the generalized Bessel polynomials. It is pointed out that this theorem and some other earlier results on the subject would provide unifications (and generalizations) of numerous generating functions which were obtained recently by using group-theoretic techniques. Some interesting applications of these general results (and their natural connections with the classical Laguerre polynomials) are also indicated.
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