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Tridiagonal Operators and Zeros of Polynomials in Two Variables

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  • Chrysi G. Kokologiannaki
  • Eugenia N. Petropoulou
  • Dimitris Rizos

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.

Suggested Citation

  • Chrysi G. Kokologiannaki & Eugenia N. Petropoulou & Dimitris Rizos, 2016. "Tridiagonal Operators and Zeros of Polynomials in Two Variables," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-8, March.
    • Handle: RePEc:hin:jnlaaa:6301413
    DOI: 10.1155/2016/6301413
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