Probabilistic derivation of some generating functions for the Laguerre polynomials (Q1972491)
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scientific article; zbMATH DE number 1429528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilistic derivation of some generating functions for the Laguerre polynomials |
scientific article; zbMATH DE number 1429528 |
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Probabilistic derivation of some generating functions for the Laguerre polynomials (English)
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12 July 2000
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A well-known generating function of the classical Laguerre polynomials was recently rederived probabilistically by \textit{P.-A. Lee} [Bull. Inst. Math., Acad. Sin. 25, No. 2, 151-154 (1997; Zbl 0884.60018)]. 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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