Um estudo do comportamento dos zeros dos Polinômios de Gegenbauer
In this dissertation, we study the Sturm Liouvile's theorems for the zeros of the solutions of linear differential equations of second order. These classical theorems are applied to analysis of the monotonicity of functions involving the zeros of classical orthogonal polynomials. in particular,...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Brasil |
| Institución: | Universidade Federal de Uberlândia (UFU) |
| Repositorio: | Repositório Institucional da UFU |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufu.br:123456789/16825 |
| Acceso en línea: | https://repositorio.ufu.br/handle/123456789/16825 http://doi.org/10.14393/ufu.di.2016.171 |
| Access Level: | acceso abierto |
| Palabra clave: | Polinômios ortogonais Sturm-Liouville, Equação de Equações diferenciais Polinômio ortogonais de Gegenbauer Teoremas clássicos de Sturm-Liouville Zeros de polinômios ortogonais Orthogonal polynomials Gegenbauer orthogonal polynomials Sturm-Liouville classical theorems Zeros of orthogonal polynomials CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this dissertation, we study the Sturm Liouvile's theorems for the zeros of the solutions of linear differential equations of second order. These classical theorems are applied to analysis of the monotonicity of functions involving the zeros of classical orthogonal polynomials. in particular, Gegenbauer polynomials. |
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