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On the limit relations between classical continuous and discrete orthogonal polynomials

✍ Scribed by E. Godoy; A. Ronveaux; A. Zarzo; I. Area

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 434 KB
Volume: 91
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00026-0

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✦ Synopsis

Limit relations between classical continuous (Jacobi, Laguerre, Hermite) and discrete (Charlier, Meixner, Kravchuk, Hahn) orthogonal polynomials are well known and can be described by relations of type lim;~ P~(x; 2) = Qn(X). Deeper information on these limiting processes can be obtained from the expansion P,(x; 2)= oo ~-]k=0 Rk(x; n)/2 . In this paper a method for the recursive computation of coefficients Rk(x; n) is designed being the main tool the consideration of a closely related connection problem which can be solved, also recurrently, by using an algorithm recently developed by the authors.

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