A note on zeros of orthogonal polynomials generated by canonical transformations
In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and C...
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| Format: | Online |
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Universidad Pedagógica y Tecnológica de Colombia
2024
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15357 |
| _version_ | 1801706358383312896 |
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| author | Molano, Luis Alejandro Molano Cuida Plazas, Germán Darío |
| author_facet | Molano, Luis Alejandro Molano Cuida Plazas, Germán Darío |
| author_sort | Molano, Luis Alejandro Molano |
| collection | OJS |
| description | In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and Christoffel transformations |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-15357 |
| institution | Revista Ciencia en Desarrollo |
| publishDate | 2024 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-153572024-05-11T07:17:18Z A note on zeros of orthogonal polynomials generated by canonical transformations Una nota sobre ceros de polinomios ortogonales generados por transformaciones canónicas Molano, Luis Alejandro Molano Cuida Plazas, Germán Darío Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and Christoffel transformations En este trabajo se estudia el comportamiento de ceros de polinomios ortogonales asociados a transformaciones espectrales can\'{o}nicas de funciones de peso sobre $[0,\infty)$. A saber, mediante t\'{e}cnicas est\'{a}ndar, obtenemos propiedades de entrelazado para ceros asociados a algunos casos particulares de transformaciones racionales y de Christoffel. Universidad Pedagógica y Tecnológica de Colombia 2024-04-09 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15357 10.19053/01217488.v15.n1.2024.15357 Ciencia En Desarrollo; Vol. 15 No. 1 (2024): Vol 15, Núm.1 (2024): Enero-Junio Ciencia en Desarrollo; Vol. 15 Núm. 1 (2024): Vol 15, Núm.1 (2024): Enero-Junio 2462-7658 0121-7488 |
| spellingShingle | Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros Molano, Luis Alejandro Molano Cuida Plazas, Germán Darío A note on zeros of orthogonal polynomials generated by canonical transformations |
| title | A note on zeros of orthogonal polynomials generated by canonical transformations |
| title_alt | Una nota sobre ceros de polinomios ortogonales generados por transformaciones canónicas |
| title_full | A note on zeros of orthogonal polynomials generated by canonical transformations |
| title_fullStr | A note on zeros of orthogonal polynomials generated by canonical transformations |
| title_full_unstemmed | A note on zeros of orthogonal polynomials generated by canonical transformations |
| title_short | A note on zeros of orthogonal polynomials generated by canonical transformations |
| title_sort | note on zeros of orthogonal polynomials generated by canonical transformations |
| topic | Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros |
| topic_facet | Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15357 |
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