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PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA

✍ Scribed by WANG, MINGJIN

Book ID
120716636
Publisher
World Scientific Publishing Company
Year
2013
Tongue
English
Weight
207 KB
Volume
16
Category
Article
ISSN
0219-0257

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πŸ“œ SIMILAR VOLUMES

Probabilistic derivation of some generat
Probabilistic derivation of some generating functions for the Laguerre polynomials
✍ Poh-Aun Lee; Seng-Huat Ong; H.M. Srivastava πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 432 KB

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 ea

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✍ S.H. Ong πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 74 KB

This paper shows that the Hankel transform of order may be interpreted as a mixture formulation of a function with the non-central gamma as mixing distribution. This result is applied to give a probabilistic derivation of the Hankel transform of order of generalized Laguerre polynomials. The applica