Rodrigues’ formulas for orthogonal matrix polynomials satisfying second-order difference equations
We develop a method to find discrete Rodrigues’ formulas for orthogonal matrix polynomials which arealso eigenfunctions of a second-order difference operator. Using it, we produce Rodrigues’ formulas fortwo illustrative examples of arbitrary size.
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/167206 |
| Online Access: | https://hdl.handle.net/11441/167206 https://doi.org/10.1080/10652469.2014.928819 |
| Access Level: | Open access |
| Keyword: | Matrix orthogonal polynomials Difference operators and equations Charlier polynomials Meixner polynomials |
| Summary: | We develop a method to find discrete Rodrigues’ formulas for orthogonal matrix polynomials which arealso eigenfunctions of a second-order difference operator. Using it, we produce Rodrigues’ formulas fortwo illustrative examples of arbitrary size. |
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