Ratio asymptotics for orthogonal matrix polynomials
Ratio asymptotic results give the asymptotic behaviour of the ratio between two consecutive orthogonal polynomials with respect to a positive measure. In this paper, we obtain ratio asymptotic results for orthogonal matrix polynomials and introduce the matrix analogs of the scalar Chebyshev polynomi...
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| Tipo de documento: | Artigo |
| Estado: | Published version |
| Data de publicação: | 1999 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182608 |
| Acesso em linha: | https://hdl.handle.net/11441/182608 https://doi.org/10.1006/jath.1999.3351 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Ratio asymptotics Quadrature formulae Orthogonal matrix polynomials Chebyshev polynomials |
| Resumo: | Ratio asymptotic results give the asymptotic behaviour of the ratio between two consecutive orthogonal polynomials with respect to a positive measure. In this paper, we obtain ratio asymptotic results for orthogonal matrix polynomials and introduce the matrix analogs of the scalar Chebyshev polynomials of the second kind. |
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