Some results on co-recursive associated Meixner and Charlier polynomials

✍ Scribed by Jean Letessier

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 530 KB
• Volume: 103
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00269-6

✦ Synopsis

An explicit representation of the co-recursive associated Meixner polynomials is given in terms of hypergeometric functions. This representation allows to derive a generating function, the Stieltjes transform of the orthogonality measure and the fourth-order difference equation verified by these polynomials. Special attention is given to some simple limiting cases ocurring in the solution of the Chapman-Kolmogorov equation of linear birth and death processes.