Some classes of generating functions for the Laguerre and Hermite polynomials

Cohen, M. E.

doi:10.1090/S0025-5718-1977-0442323-1

Some classes of generating functions for the Laguerre and Hermite polynomials
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Math. Comp. 31 (1977), 511-518 Request permission

Abstract:

In the first half of the article, we present two theorems which give, as special cases, a number of new classes of generating functions for the Laguerre polynomial. These formulae extend the recent results of Carlitz [2] and others. The latter part of our work deals with two theorems involving new generating functions for the Hermite and generalized Hermite polynomials, thus generalizing some well-known expansions. The method of proof adopted in this paper differs from that of previous workers.

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