Random deletion model and Rainville's generating function for the laguerre polynomials

✍ Scribed by P.A. Lee

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 183 KB
• Volume: 335
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(97)00059-8

✦ Synopsis

A random deletion model associated with the non-central neqative binomial distribution is used to provide a new proof Of the well-known ,qeneratiny Junction formula of Rainville .[br the generalised Laquerre polynomials. The proq/i using only probabilistic arguments, relies on the Poisson mivture representation of the distribution and the commutative nature q[ the deletion and mixinq operations.