Electrostatic models for zeros of polynomials: old, new, and some open problems
We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity....
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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2012
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/1632 |
| _version_ | 1789406384899489792 |
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| author | Marcellan, F. Martínez-Finkelshtein, Andrei Martinez-Gonzalez, P. |
| author_facet | Marcellan, F. Martínez-Finkelshtein, Andrei Martinez-Gonzalez, P. |
| author_sort | Marcellan, F. |
| collection | DSpace |
| description | We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity. The leading role is played by the differential equation satisfied by these polynomials. Some new developments, applications and open problems are presented. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-1632 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-16322023-04-12T19:37:07Z Electrostatic models for zeros of polynomials: old, new, and some open problems Marcellan, F. Martínez-Finkelshtein, Andrei Martinez-Gonzalez, P. Ecuación diferencial de segundo orden Polinomios ortogonales Ceros Asíntotas Modelo elestrostático Potencial logarítmico Second order differential equation Orthogonal polynomials Zeros Asymptotics Electrostatic model Logarithmic potential We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity. The leading role is played by the differential equation satisfied by these polynomials. Some new developments, applications and open problems are presented. 2012-08-02T10:34:26Z 2012-08-02T10:34:26Z 2007 info:eu-repo/semantics/article http://hdl.handle.net/10835/1632 en info:eu-repo/semantics/openAccess Journal of Computational and Applied Mathematics Vol. 207, Nº 2 (2007) |
| spellingShingle | Ecuación diferencial de segundo orden Polinomios ortogonales Ceros Asíntotas Modelo elestrostático Potencial logarítmico Second order differential equation Orthogonal polynomials Zeros Asymptotics Electrostatic model Logarithmic potential Marcellan, F. Martínez-Finkelshtein, Andrei Martinez-Gonzalez, P. Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title | Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title_full | Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title_fullStr | Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title_full_unstemmed | Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title_short | Electrostatic models for zeros of polynomials: old, new, and some open problems |
| title_sort | electrostatic models for zeros of polynomials: old, new, and some open problems |
| topic | Ecuación diferencial de segundo orden Polinomios ortogonales Ceros Asíntotas Modelo elestrostático Potencial logarítmico Second order differential equation Orthogonal polynomials Zeros Asymptotics Electrostatic model Logarithmic potential |
| url | http://hdl.handle.net/10835/1632 |
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