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Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials

✍ Scribed by M Foupouagnigni; A Ronveaux; W Koepf

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
262 KB
Volume
101
Category
Article
ISSN
0377-0427

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✦ Synopsis

We derive the fourth-order q-difference equation satisfied by the first associated of the q-classical orthogonal polynomials. The coefficients of this equation are given in terms of the polynomials tr and z which appear in the q-Pearson difference equation Dq(tr p)= zp defining the weight p of the q-classical orthogonal polynomials inside the q-Hahn tableau. (~) 1999 Elsevier Science B.V. All rights reserved.

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