On the orthogonality measure of the q-pollaczek polynomials

The q-Pollaczek polynomials F ,(x) depend on four parameters u,v, ∆, q and are given by the recurrence relation (1-qn+1)Fn+1(x) = 2[(1-u∆qn)x+vqn]Fn(x)- (1-∆2qn-1)Fn-1 (x), n ≥ 1, and the initial cond i t i ons Fo(x)=1 F1(x) = 2 [(1-u∆)x+v]/1-q. The measure with respect to which the Fn(x)'s are...

Full description

Autores:: Charris Castañeda, Jairo Antonio
Gómez, Luis A.

Tipo de recurso:: Article of journal

Fecha de publicación:: 1987

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

id	UNACIONAL2_2ace008ddcb507cd0cf00789629d743c
oai_identifier_str	oai:repositorio.unal.edu.co:unal/43171
network_acronym_str	UNACIONAL2
network_name_str	Universidad Nacional de Colombia
repository_id_str
spelling	Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Charris Castañeda, Jairo Antonioc6678229-d550-4534-a647-753c94d4ddd5300Gómez, Luis A.d6e8c425-e659-42f7-bc4c-ef1cec8050f83002019-06-28T11:38:43Z2019-06-28T11:38:43Z1987https://repositorio.unal.edu.co/handle/unal/43171http://bdigital.unal.edu.co/33269/The q-Pollaczek polynomials F ,(x) depend on four parameters u,v, ∆, q and are given by the recurrence relation (1-qn+1)Fn+1(x) = 2[(1-u∆qn)x+vqn]Fn(x)- (1-∆2qn-1)Fn-1 (x), n ≥ 1, and the initial cond i t i ons Fo(x)=1 F1(x) = 2 [(1-u∆)x+v]/1-q. The measure with respect to which the Fn(x)'s are orthogonal is determined when the parameters are subject to the constraints O and lt;u and lt;∆ and lt; 1, ∆(1-u) and gt;±v, 0 and lt; q and lt; 1. This measure turns out to be absolutelv continuous with respect to Lebesgue's measure.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33068Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 301-316 0034-7426Charris Castañeda, Jairo Antonio and Gómez, Luis A. (1987) On the orthogonality measure of the q-pollaczek polynomials. Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 301-316 0034-7426 .On the orthogonality measure of the q-pollaczek polynomialsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTq-Pollaczek polynomialsorthogonalLebesgue's measureORIGINAL33068-122586-1-PB.pdfapplication/pdf4379076https://repositorio.unal.edu.co/bitstream/unal/43171/1/33068-122586-1-PB.pdf9a1e146892051825ffe979335b3dc0bbMD51THUMBNAIL33068-122586-1-PB.pdf.jpg33068-122586-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5981https://repositorio.unal.edu.co/bitstream/unal/43171/2/33068-122586-1-PB.pdf.jpgae89b2d3b84b8cabdfd0f1de3b432fceMD52unal/43171oai:repositorio.unal.edu.co:unal/431712023-02-11 23:04:22.044Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv	On the orthogonality measure of the q-pollaczek polynomials
title	On the orthogonality measure of the q-pollaczek polynomials
spellingShingle	On the orthogonality measure of the q-pollaczek polynomials q-Pollaczek polynomials orthogonal Lebesgue's measure
title_short	On the orthogonality measure of the q-pollaczek polynomials
title_full	On the orthogonality measure of the q-pollaczek polynomials
title_fullStr	On the orthogonality measure of the q-pollaczek polynomials
title_full_unstemmed	On the orthogonality measure of the q-pollaczek polynomials
title_sort	On the orthogonality measure of the q-pollaczek polynomials
dc.creator.fl_str_mv	Charris Castañeda, Jairo Antonio Gómez, Luis A.
dc.contributor.author.spa.fl_str_mv	Charris Castañeda, Jairo Antonio Gómez, Luis A.
dc.subject.proposal.spa.fl_str_mv	q-Pollaczek polynomials orthogonal Lebesgue's measure
topic	q-Pollaczek polynomials orthogonal Lebesgue's measure
description	The q-Pollaczek polynomials F ,(x) depend on four parameters u,v, ∆, q and are given by the recurrence relation (1-qn+1)Fn+1(x) = 2[(1-u∆qn)x+vqn]Fn(x)- (1-∆2qn-1)Fn-1 (x), n ≥ 1, and the initial cond i t i ons Fo(x)=1 F1(x) = 2 [(1-u∆)x+v]/1-q. The measure with respect to which the Fn(x)'s are orthogonal is determined when the parameters are subject to the constraints O and lt;u and lt;∆ and lt; 1, ∆(1-u) and gt;±v, 0 and lt; q and lt; 1. This measure turns out to be absolutelv continuous with respect to Lebesgue's measure.
publishDate	1987
dc.date.issued.spa.fl_str_mv	1987
dc.date.accessioned.spa.fl_str_mv	2019-06-28T11:38:43Z
dc.date.available.spa.fl_str_mv	2019-06-28T11:38:43Z
dc.type.spa.fl_str_mv	Artículo de revista
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv	info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv	info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv	http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv	Text
dc.type.redcol.spa.fl_str_mv	http://purl.org/redcol/resource_type/ART
format	http://purl.org/coar/resource_type/c_6501
status_str	publishedVersion
dc.identifier.uri.none.fl_str_mv	https://repositorio.unal.edu.co/handle/unal/43171
dc.identifier.eprints.spa.fl_str_mv	http://bdigital.unal.edu.co/33269/
url	https://repositorio.unal.edu.co/handle/unal/43171 http://bdigital.unal.edu.co/33269/
dc.language.iso.spa.fl_str_mv	spa
language	spa
dc.relation.spa.fl_str_mv	http://revistas.unal.edu.co/index.php/recolma/article/view/33068
dc.relation.ispartof.spa.fl_str_mv	Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv	Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 301-316 0034-7426
dc.relation.references.spa.fl_str_mv	Charris Castañeda, Jairo Antonio and Gómez, Luis A. (1987) On the orthogonality measure of the q-pollaczek polynomials. Revista Colombiana de Matemáticas; Vol. 21, núm. 2-4 (1987); 301-316 0034-7426 .
dc.rights.spa.fl_str_mv	Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv	Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv	http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
rights_invalid_str_mv	Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv	openAccess
dc.format.mimetype.spa.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution	Universidad Nacional de Colombia
bitstream.url.fl_str_mv	https://repositorio.unal.edu.co/bitstream/unal/43171/1/33068-122586-1-PB.pdf https://repositorio.unal.edu.co/bitstream/unal/43171/2/33068-122586-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv	9a1e146892051825ffe979335b3dc0bb ae89b2d3b84b8cabdfd0f1de3b432fce
bitstream.checksumAlgorithm.fl_str_mv	MD5 MD5
repository.name.fl_str_mv	Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv	repositorio_nal@unal.edu.co
_version_	1814089411995893760

On the orthogonality measure of the q-pollaczek polynomials

Publicaciones similares