Mellin transforms for some families of q-polynomials
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite 11, the Al-Salam-Carlitz 11, the big q-Laguerre, the big q-Legendre, the big q-Jacobi and the q-Hahn polynomials. (C)...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1749 |
| Acceso en línea: | http://hdl.handle.net/11154/1749 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mellin integral transforms q-polynomials |
| Sumario: | By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite 11, the Al-Salam-Carlitz 11, the big q-Laguerre, the big q-Legendre, the big q-Jacobi and the q-Hahn polynomials. (C) 2002 Elsevier Science B.V. All rights reserved. |
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