Tridiagonal Operators and Zeros of Polynomials in Two Variables

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 recur...

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Bibliographic Details
Main Authors: Chrysi G. Kokologiannaki, Eugenia N. Petropoulou, Dimitris Rizos
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/6301413