Divided-difference equation and three-term recurrence relations of some systems of bivariate q -orthogonal polynomials.

Autor: Tcheutia, D. D., Foupouagnigni, M., Guemo Tefo, Y., Area, I.
Předmět:
Zdroj: Journal of Difference Equations & Applications; 2017, Vol. 23 Issue 12, p2004-2036, 33p
Abstrakt: Partial divided-difference equations and three-term recurrence relations satisfied by the bivariate Askey–Wilson and the bivariateq-Racah polynomials are computed in this work. By using limiting processes, partial divided (orq)-difference equations and three-term recurrence relations are also provided for each of the following families of orthogonal polynomials: the bivariate continuous dualq-Hahn, the bivariate Al-Salam-Chihara, the bivariate continuousq-Hahn, the bivariateq-Hahn, the bivariate dualq-Hahn, the bivariateq-Krawtchouk, the bivariateq-Meixner, and the bivariateq-Charlier polynomials. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index