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On the q-polynomials: a distributional study

 

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Author: Medem Roesicke, Juan Carlos
Álvarez Nodarse, Renato
Marcellán Español, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2001-10-15
Published in: Journal of Computational and Applied Mathematics, 135 (2), 157-196.
Document type: Article
Abstract: In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term recurrence relations, structure relations, etc. Also several characterizations of such q-polynomials are presented.
Cite: Medem Roesicke, J.C., Álvarez Nodarse, R. y Marcellán Español, F. (2001). On the q-polynomials: a distributional study. Journal of Computational and Applied Mathematics, 135 (2), 157-196.
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URI: http://hdl.handle.net/11441/47714

DOI: 10.1016/S0377-0427(00)00584-7

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