Artículo
On the connection and linearization problem for discrete hypergeometric q-polynomials
Autor/es | Álvarez Nodarse, Renato
Arvesú Carballo, Jorge Yáñez García, Rafael José |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2001-05-01 |
Fecha de depósito | 2016-06-01 |
Publicado en |
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Resumen | In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) satisfied by the set of discrete hypergeometric orthogonal q-polynomials {pn}, we find analytical ... In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) satisfied by the set of discrete hypergeometric orthogonal q-polynomials {pn}, we find analytical expressions of the expansion coefficients of any q-polynomial rm(x(s)) on x(s) and of the product rm(x(s))qj(x(s)) in series of the set {pn}. These coefficients are given in terms of the polynomial coefficients of the second-order difference equations satisfied by the involved discrete hypergeometric q-polynomials. |
Identificador del proyecto | info:eu-repo/grantAgreement/EC/INTAS-93-0219
FQM207 |
Cita | Álvarez Nodarse, R., Arvesú Carballo, J. y Yáñez García, R.J. (2001). On the connection and linearization problem for discrete hypergeometric q-polynomials. Journal of Mathematical Analysis and Applications, 257 (1), 52-78. |
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