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Eigenvectors of tridiagonal matrices of Sylvester type |
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| Authors: | Wenchang Chu Xiaoyuan Wang |
| Affiliation: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P.R. China;(2) Present address: Dipartimento di Matematica, Università del Salento, Lecce-Arnesano, P.O. Box 193, 73100 Lecce, Italy |
| Abstract: | Eigenvectors of the tridiagonal matrices of Sylvester type are explicitly determined. These are closely related to orthogonal polynomials named after Krawtchouk, (dual) Hahn and Racah as well as to q-Racah polynomials. |
| Keywords: | Tridiagonal matrix eigenvalue eigenvector Sylvester determinant Krawtchouk polynomial dual Hahn polynomial Racah polynomial q-Racah polynomial |
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