On spherical invariance

In 1964 Pommerenke introduced the notion of linear invariant family for locally injective analytic functions defined in the unit disk of the complex plane. Following Ma and Minda (who extended this notion to spherical geometry), we consider in this paper locally injective meromorphic functions in th...

Full description

Autores:
Arbeláez, Hugo
Mejía, Diego
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39451
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39451
http://bdigital.unal.edu.co/29548/
Palabra clave:
Spherical invariance
Spherical order
Schwarzian derivative
Normal function
Uniformly perfect
30D30
30D45
30C45
30F45
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_7943ea53be72303ff858ce975e4ea6a5
oai_identifier_str oai:repositorio.unal.edu.co:unal/39451
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_abf2Arbeláez, Hugo05884219-d53e-4e55-b447-ba93c52d3346300Mejía, Diego917b4f86-a5ab-434b-b051-65ddbaba74223002019-06-28T03:53:55Z2019-06-28T03:53:55Z2011https://repositorio.unal.edu.co/handle/unal/39451http://bdigital.unal.edu.co/29548/In 1964 Pommerenke introduced the notion of linear invariant family for locally injective analytic functions defined in the unit disk of the complex plane. Following Ma and Minda (who extended this notion to spherical geometry), we consider in this paper locally injective meromorphic functions in the unit disk. More precisely, we study families of such functions for which a certain invariant, called spherical order, is finite. Several consequences on the finiteness of the spherical order are explored, in particular the connection with the Schwarzian and normal orders, and with uniform perfectness.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28065Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 97-112 0034-7426Arbeláez, Hugo and Mejía, Diego (2011) On spherical invariance. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 97-112 0034-7426 .On spherical invarianceArtículo 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/ARTSpherical invarianceSpherical orderSchwarzian derivativeNormal functionUniformly perfect30D3030D4530C4530F45ORIGINAL28065-142415-1-PB.htmltext/html5802https://repositorio.unal.edu.co/bitstream/unal/39451/1/28065-142415-1-PB.htmla0fb7f2a869f0f0846a8162a1d9894fdMD5128065-99528-1-PB.pdfapplication/pdf404761https://repositorio.unal.edu.co/bitstream/unal/39451/2/28065-99528-1-PB.pdf3268f37699335517b09bae8bc30518feMD52THUMBNAIL28065-99528-1-PB.pdf.jpg28065-99528-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4660https://repositorio.unal.edu.co/bitstream/unal/39451/3/28065-99528-1-PB.pdf.jpgb7d027cf1d041928f0baa27d90304247MD53unal/39451oai:repositorio.unal.edu.co:unal/394512023-01-23 23:04:24.283Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On spherical invariance
title On spherical invariance
spellingShingle On spherical invariance
Spherical invariance
Spherical order
Schwarzian derivative
Normal function
Uniformly perfect
30D30
30D45
30C45
30F45
title_short On spherical invariance
title_full On spherical invariance
title_fullStr On spherical invariance
title_full_unstemmed On spherical invariance
title_sort On spherical invariance
dc.creator.fl_str_mv Arbeláez, Hugo
Mejía, Diego
dc.contributor.author.spa.fl_str_mv Arbeláez, Hugo
Mejía, Diego
dc.subject.proposal.spa.fl_str_mv Spherical invariance
Spherical order
Schwarzian derivative
Normal function
Uniformly perfect
30D30
30D45
30C45
30F45
topic Spherical invariance
Spherical order
Schwarzian derivative
Normal function
Uniformly perfect
30D30
30D45
30C45
30F45
description In 1964 Pommerenke introduced the notion of linear invariant family for locally injective analytic functions defined in the unit disk of the complex plane. Following Ma and Minda (who extended this notion to spherical geometry), we consider in this paper locally injective meromorphic functions in the unit disk. More precisely, we study families of such functions for which a certain invariant, called spherical order, is finite. Several consequences on the finiteness of the spherical order are explored, in particular the connection with the Schwarzian and normal orders, and with uniform perfectness.
publishDate 2011
dc.date.issued.spa.fl_str_mv 2011
dc.date.accessioned.spa.fl_str_mv 2019-06-28T03:53:55Z
dc.date.available.spa.fl_str_mv 2019-06-28T03:53:55Z
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/39451
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/29548/
url https://repositorio.unal.edu.co/handle/unal/39451
http://bdigital.unal.edu.co/29548/
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/28065
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. 45, núm. 1 (2011); 97-112 0034-7426
dc.relation.references.spa.fl_str_mv Arbeláez, Hugo and Mejía, Diego (2011) On spherical invariance. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 97-112 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/39451/1/28065-142415-1-PB.html
https://repositorio.unal.edu.co/bitstream/unal/39451/2/28065-99528-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/39451/3/28065-99528-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv a0fb7f2a869f0f0846a8162a1d9894fd
3268f37699335517b09bae8bc30518fe
b7d027cf1d041928f0baa27d90304247
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089232807886848

Publicaciones similares