Publicação
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
| Resumo: | We deduce difference equations in the matrix form for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre-Hahn polynomials of class zero. |
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| Autores principais: | Rebocho, M. N. |
| Outros Autores: | Filipuk, Galina |
| Assunto: | Orthogonal polynomials Divided-difference operator Non-uniform lattices Laguerre-Hahn class |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | preprint |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade da Beira Interior |
| Idioma: | inglês |
| Origem: | uBibliorum |
| Resumo: | We deduce difference equations in the matrix form for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre-Hahn polynomials of class zero. |
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