On the distributional orthogonality of the general Pollaczek polynomials

A distributional representation of the moment functional of the general Pollaczek polynomials is established. This representation holds for a wider range of parameters than the representation by a positive measure.

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Bibliographic Details
Main Authors: Jairo A. Charris, Felix H. Soriano
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000609
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author Jairo A. Charris
Felix H. Soriano
author_facet Jairo A. Charris
Felix H. Soriano
author_sort Jairo A. Charris
collection DOAJ
description A distributional representation of the moment functional of the general Pollaczek polynomials is established. This representation holds for a wider range of parameters than the representation by a positive measure.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1996-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6f0d304954e640fbb3c0c291b74aec2f2025-02-03T01:09:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119341742610.1155/S0161171296000609On the distributional orthogonality of the general Pollaczek polynomialsJairo A. Charris0Felix H. Soriano1Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Bogotá, ColombiaDepartamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Universidad de los Andes, Bogotá, ColombiaA distributional representation of the moment functional of the general Pollaczek polynomials is established. This representation holds for a wider range of parameters than the representation by a positive measure.http://dx.doi.org/10.1155/S0161171296000609moment functionalsspectral measuresPollaczek polynomials distributionssupport of a distribution and of a measuremass point.
spellingShingle Jairo A. Charris
Felix H. Soriano
On the distributional orthogonality of the general Pollaczek polynomials
International Journal of Mathematics and Mathematical Sciences
moment functionals
spectral measures
Pollaczek polynomials
distributions
support of a distribution and of a measure
mass point.
title On the distributional orthogonality of the general Pollaczek polynomials
title_full On the distributional orthogonality of the general Pollaczek polynomials
title_fullStr On the distributional orthogonality of the general Pollaczek polynomials
title_full_unstemmed On the distributional orthogonality of the general Pollaczek polynomials
title_short On the distributional orthogonality of the general Pollaczek polynomials
title_sort on the distributional orthogonality of the general pollaczek polynomials
topic moment functionals
spectral measures
Pollaczek polynomials
distributions
support of a distribution and of a measure
mass point.
url http://dx.doi.org/10.1155/S0161171296000609
work_keys_str_mv AT jairoacharris onthedistributionalorthogonalityofthegeneralpollaczekpolynomials
AT felixhsoriano onthedistributionalorthogonalityofthegeneralpollaczekpolynomials