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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/6301413 |
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| _version_ | 1832554392186781696 |
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| author | Chrysi G. Kokologiannaki Eugenia N. Petropoulou Dimitris Rizos |
| author_facet | Chrysi G. Kokologiannaki Eugenia N. Petropoulou Dimitris Rizos |
| author_sort | Chrysi G. Kokologiannaki |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d90f4b815c254cbc906593ae45a49edb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d90f4b815c254cbc906593ae45a49edb2025-02-03T05:51:41ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/63014136301413Tridiagonal Operators and Zeros of Polynomials in Two VariablesChrysi G. Kokologiannaki0Eugenia N. Petropoulou1Dimitris Rizos2Department of Mathematics, University of Patras, 26500 Patras, GreeceDepartment of Civil Engineering, University of Patras, 26500 Patras, GreeceDepartment of Mathematics, University of Patras, 26500 Patras, GreeceThe 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.http://dx.doi.org/10.1155/2016/6301413 |
| spellingShingle | Chrysi G. Kokologiannaki Eugenia N. Petropoulou Dimitris Rizos Tridiagonal Operators and Zeros of Polynomials in Two Variables Abstract and Applied Analysis |
| title | Tridiagonal Operators and Zeros of Polynomials in Two Variables |
| title_full | Tridiagonal Operators and Zeros of Polynomials in Two Variables |
| title_fullStr | Tridiagonal Operators and Zeros of Polynomials in Two Variables |
| title_full_unstemmed | Tridiagonal Operators and Zeros of Polynomials in Two Variables |
| title_short | Tridiagonal Operators and Zeros of Polynomials in Two Variables |
| title_sort | tridiagonal operators and zeros of polynomials in two variables |
| url | http://dx.doi.org/10.1155/2016/6301413 |
| work_keys_str_mv | AT chrysigkokologiannaki tridiagonaloperatorsandzerosofpolynomialsintwovariables AT eugenianpetropoulou tridiagonaloperatorsandzerosofpolynomialsintwovariables AT dimitrisrizos tridiagonaloperatorsandzerosofpolynomialsintwovariables |