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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

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✦ 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.


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