Fourth-Order q-Difference Equation for the First Associated of the q-Classical Orthogonal Polynomials
Please always quote using this URN: urn:nbn:de:0297-zib-3490
- 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 $\; \sigma\;$ and $\;\tau\;$ which appear in the $q$-Pearson difference equation $\;\; D_q(\sigma\,\rho)=\tau\,\rho\;$ defining the weight $\rho$ of the $q$-classical orthogonal polynomials inside the $q$-Hahn tableau.
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| Author: | Mama Foupouagnigni, Andre Ronveaux, Wolfram Koepf |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | Fourth order q-difference equation; q-Orthogonal polynomials |
| Date of first Publication: | 1998/02/25 |
| Series (Serial Number): | ZIB-Report (SC-98-06) |
| ZIB-Reportnumber: | SC-98-06 |
| Published in: | Appeared in: J. Comp. Appl. Math. 101, pp. 231-236 (1999) |
