Some generating functions of Laguerre polynomials

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Probabilistic Derivation of Some Generating Functions for the Laguerre Polynomials

-A well-known generating function of the classical Laguerre polynomials was recently rederived probabillstically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabillstic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness. © 1999 Elsevier...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 1987

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171287000632