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A generalization of the classical Laguerre polynomials

 

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Author: Álvarez Nodarse, Renato
Marcellán Español, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 1995
Published in: Rendiconti del Circolo Matematico di Palermo, 44 (2), 315-329.
Document type: Article
Abstract: We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we represent them as the hypergeometric function 3F3:
Cite: Álvarez Nodarse, R. y Marcellán Español, F. (1995). A generalization of the classical Laguerre polynomials. Rendiconti del Circolo Matematico di Palermo, 44 (2), 315-329.
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URI: http://hdl.handle.net/11441/41776

DOI: 10.1007/BF02850839

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