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2016 Tridiagonal Operators and Zeros of Polynomials in Two Variables
Chrysi G. Kokologiannaki, Eugenia N. Petropoulou, Dimitris Rizos
Abstr. Appl. Anal. 2016: 1-8 (2016). DOI: 10.1155/2016/6301413


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.


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Chrysi G. Kokologiannaki. Eugenia N. Petropoulou. Dimitris Rizos. "Tridiagonal Operators and Zeros of Polynomials in Two Variables." Abstr. Appl. Anal. 2016 1 - 8, 2016.


Received: 7 December 2015; Revised: 16 February 2016; Accepted: 18 February 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 06929382
MathSciNet: MR3478646
Digital Object Identifier: 10.1155/2016/6301413

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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