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Turkish Journal of Mathematics

DOI

10.3906/mat-1503-46

Abstract

The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the Sylvester matrix. In this paper, we introduce its $2$-periodic generalization. Then we compute its spectrum by left eigenvectors with a similarity trick.

First Page

80

Last Page

89

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Mathematics Commons

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