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On the connection and linearization problem for discrete hypergeometric q-polynomials

 

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Author: Álvarez Nodarse, Renato
Arvesú Carballo, Jorge
Yáñez García, Rafael José
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2001-05-01
Published in: Journal of Mathematical Analysis and Applications, 257 (1), 52-78.
Document type: Article
Abstract: 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.
Cite: 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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URI: http://hdl.handle.net/11441/41749

DOI: 10.1006/jmaa.2000.7302

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