Geodesic
On Sieved Orthogonal Polynomials II: Random Walk Polynomials
Canadian journal of mathematics, Tome 38 (1986) no. 2, pp. 397-415

Voir la notice de l'article provenant de la source Cambridge University Press

A birth and death process is a stationary Markov process whose states are the nonnegative integers and the transition probabilities (1.1) satisfy (1.2) as t → 0. Here we assume βn > 0, δ n + 1 > 0, n = 0, 1, ..., but δ 0 ≦ 0. Karlin and McGregor [10], [11], [12], showed that each birth and death process gives rise to two sets of orthogonal polynomials. The first is the set of birth and death process polynomials {Qn(x)} generated by 
Charris, Jairo; Ismail, Mourad E. H. On Sieved Orthogonal Polynomials II: Random Walk Polynomials. Canadian journal of mathematics, Tome 38 (1986) no. 2, pp. 397-415. doi: 10.4153/CJM-1986-020-x
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