Artículo
On the properties of special functions on the linear-type lattices
Autor/es | Álvarez Nodarse, Renato
Santos Cardoso, José Luis dos |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2013-09-01 |
Fecha de depósito | 2016-06-01 |
Publicado en |
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Resumen | We present a general theory for studying the difference analogues of special
functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric ... We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of lattices: the linear type lattices. In particular, using the integral representation of the solutions we obtain several difference-recurrence relations for such functions. Finally, applications to q-classical polynomials are given. |
Identificador del proyecto | MTM2009-12740-C03
FQM-0262 CM-UTAD P09-FQM-4643 |
Cita | Álvarez Nodarse, R. y Santos Cardoso, J.L.d. (2013). On the properties of special functions on the linear-type lattices. Journal of Mathematical Analysis and Applications, 405 (1), 271-285. |
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