Some generalized Jacobi polynomials

✍ Scribed by M.J. Atia; J. Alaya; A. Ronveaux

• Book ID: 104352474
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 507 KB
• Volume: 45
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(03)00045-2

✦ Synopsis

we give explicitly the recurrence coefficients in the three term recurrence relation of some generalized Jacobi polynomials defined by the positive weight p(q OL + p;s,p)

The case p = 0 can be found in Chihara's book. The case p = 1 is treated by the first author, and we consider here the cases p = 2,3,4. These recurrence coefficients can be used to prove that their corresponding polynomials are random walk and then are of interest in birth and death process [1,2]; for instance, the cases p = I,2 are treated.