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The modification of classical Hahn polynomials of a discrete variable

 

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Opened Access The modification of classical Hahn polynomials of a discrete variable
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Author: Álvarez Nodarse, Renato
Marcellán Español, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 1995
Published in: Integral Transforms and Special Functions, 3 (4), 243-262.
Document type: Article
Abstract: We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal polynomials and identify them as hypergeometric functions. The corresponding three term recurrence relation and tridiagonal matrices are also studied.
Cite: Álvarez Nodarse, R. y Marcellán Español, F. (1995). The modification of classical Hahn polynomials of a discrete variable. Integral Transforms and Special Functions, 3 (4), 243-262.
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URI: http://hdl.handle.net/11441/41777

DOI: 10.1080/10652469508819081

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