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The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class

✍ Scribed by Foupouagnigni, M.; Ronveaux, A.; Hounkonnou, M. N.

Book ID
121358304
Publisher
Taylor and Francis Group
Year
2001
Tongue
English
Weight
854 KB
Volume
7
Category
Article
ISSN
1023-6198

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πŸ“œ SIMILAR VOLUMES

The Fourth-order Difference Equation Sat
The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the Ξ” -Laguerre–Hahn Class
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Starting from the DΟ‰-Riccati difference equation satisfied by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourthorder difference equation satisfied by the associated of any integer order of orthogonal polynomials of the βˆ†-Laguerre-Hah

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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

Fourth order q-difference equation for t
Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
✍ M Foupouagnigni; A Ronveaux; W Koepf πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 262 KB

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