论文信息 - Probabilistic derivation of some generating functions for the Laguerre polynomials

Probabilistic derivation of some generating functions for the Laguerre polynomials

Abstract A well-known generating function of the classical Laguerre polynomials was recently rederived probabilistically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabilistic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness.

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