Companion orthogonal polynomials
We give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d phi(1)(x) and d phi(2)(x) such that d phi(2)(x) = (I + kx(2))d phi(1)(x). AS applications of these properties, recurrence relations for many interesting systems of or...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 1996 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/36731 |
| Online Access: | http://dx.doi.org/10.1016/S0377-0427(96)00074-X http://hdl.handle.net/11449/36731 |
| Access Level: | Open access |
| Keyword: | symmetric orthogonal polynomials Three term recurrence relations strong distributions |
| Summary: | We give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d phi(1)(x) and d phi(2)(x) such that d phi(2)(x) = (I + kx(2))d phi(1)(x). AS applications of these properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained. |
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