Tridiagonal operators and zeros of polynomials in two variables (Q1669257)
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scientific article; zbMATH DE number 6929382
| Language | Label | Description | Also known as |
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| English | Tridiagonal operators and zeros of polynomials in two variables |
scientific article; zbMATH DE number 6929382 |
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Tridiagonal operators and zeros of polynomials in two variables (English)
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30 August 2018
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Summary: 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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