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Fourth-order difference equation for the associated classical discrete orthogonal polynomials

✍ Scribed by M. Foupouagnigni; W. Koepf; A. Ronveaux

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 237 KB
Volume: 92
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00050-8

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✦ Synopsis

We derive the fourth-order difference equation satisfied by the associated order r of classical orthogonal polynomials of a discrete variable.

The coefficients of this equation are given in terms of the polynomials a and z which appear in the discrete Pearson equation A(ap)= zp defining the weight p(x) of the classical discrete orthogonal polynomials. (~

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