Tridiagonal Operators and Zeros of Polynomials in Two Variables

Chrysi G. Kokologiannaki, Eugenia N. Petropoulou and Dimitris Rizos

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self‐adjoint operator. This is done by use of a functional‐analytic method. The polynomials in two variables are assumed to satisfy a five‐term recurrence relation, similar to the three‐term recurrence relation that the classical orthogonal polynomials satisfy.

Date: 2016
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https://doi.org/10.1155/2016/6301413

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:6301413

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