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, 1-8

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6301413

DOI: 10.1155/2016/6301413

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