Artículo
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
Autor/es | Álvarez Nodarse, Renato
Atakishiyeva Kyazim Zade, Messouma Atakishiyev Mektiyev, Natig |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2002-10 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can ... We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can be expressed either in terms of the q-Laguerre polynomials L n (x; q), = 1=2, or through the discrete q-Hermite polynomials ~hn(x; q) of type II. |
Identificador del proyecto | BFM-2000-0206-C04-02
FQM-262 info:eu-repo/grantAgreement/EC/INTAS-2000-00272 IN112300 |
Cita | Álvarez Nodarse, R., Atakishiyeva Kyazim Zade, M. y Atakishiyev Mektiyev, N. (2007). On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1. Boletín de la Sociedad Matemática Mexicana, 8 (2), 127-139. |
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