Divided-difference equation and three-term recurrence relations of some systems of bivariate q-orthogonal polynomials |
| |
| Authors: | D. D. Tcheutia M. Foupouagnigni Y. Guemo Tefo I. Area |
| |
| Affiliation: | 1. Institute of Mathematics, University of Kassel, Kassel, Germany.duvtcheutia@yahoo.fr;3. African Institute for Mathematical Sciences, AIMS-Cameroon, Limbé, Cameroon.;4. Department of Mathematics, Higher Teachers’ Training College, University of Yaounde I, Yaoundé, Cameroon.;5. Faculty of Science, Department of Mathematics, University of Yaounde I, Yaoundé, Cameroon.;6. Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo, Universidade de Vigo, Ourense, Spain. |
| |
| Abstract: | Partial divided-difference equations and three-term recurrence relations satisfied by the bivariate Askey–Wilson and the bivariate q-Racah polynomials are computed in this work. By using limiting processes, partial divided (or q)-difference equations and three-term recurrence relations are also provided for each of the following families of orthogonal polynomials: the bivariate continuous dual q-Hahn, the bivariate Al-Salam-Chihara, the bivariate continuous q-Hahn, the bivariate q-Hahn, the bivariate dual q-Hahn, the bivariate q-Krawtchouk, the bivariate q-Meixner, and the bivariate q-Charlier polynomials. |
| |
| Keywords: | Divided-difference equation three term recurrence relation q-quadratic lattice Bivariate Askey–Wilson Bivariate q-Racah |
|
|
