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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Format: | Article |
Language: | English |
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Wiley
1996-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-6f0d304954e640fbb3c0c291b74aec2f |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
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 |