ON THE LOCATION OF ZEROS OF QUASI–ORTHOGONAL POLYNOMIALS WITH APPLICATIONS TO SOME REAL SELF–RECIPROCAL POLYNOMIALS
In this paper, we present new results on the location of zeros of some classes of quasi-orthogonal polynomials. From the Chebyshev polynomials, we obtain some classes of real self-reciprocal polynomials, and investigate the location and monotonicity of their zeros.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/303607 |
| Acceso en línea: | http://dx.doi.org/10.7153/jca-2022-19-08 https://hdl.handle.net/11449/303607 |
| Access Level: | acceso abierto |
| Palabra clave: | Chebyshev polynomials Quasi-orthogonal polynomials self-reciprocal polynomials symmetric orthogonal polynomials unit circle zeros |
| Sumario: | In this paper, we present new results on the location of zeros of some classes of quasi-orthogonal polynomials. From the Chebyshev polynomials, we obtain some classes of real self-reciprocal polynomials, and investigate the location and monotonicity of their zeros. |
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