On ratios of certain analytic functions

Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose  members are convex, starlike relative to the origin, or typicallyreal in the open unit disk E. Sharp bounds on   ∝ and gt; 0 and β and gt; 0 such that Re {H(z) } ∝ and gt; 0,  Re {h (z) } β a...

Full description

Autores:
Burdick, G. R.
Merkes, E. P.
Tipo de recurso:
Article of journal
Fecha de publicación:
1975
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42390
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42390
http://bdigital.unal.edu.co/32487/
Palabra clave:
Analytic functions
members are convex
class of typically-real functions
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42390
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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_abf2Burdick, G. R.b77b17c3-bfeb-4b75-9c5d-444808d8dd51300Merkes, E. P.d93d6fe0-c95b-4c84-9c18-4a1b1d13c60d3002019-06-28T10:47:06Z2019-06-28T10:47:06Z1975https://repositorio.unal.edu.co/handle/unal/42390http://bdigital.unal.edu.co/32487/Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose  members are convex, starlike relative to the origin, or typicallyreal in the open unit disk E. Sharp bounds on   ∝ and gt; 0 and β and gt; 0 such that Re {H(z) } ∝ and gt; 0,  Re {h (z) } β and gt; 0, z ∈ E, are obtained with one exception. In the case where h( z) is considered for f and g typically-real, z is restricted to the precise region in E of univalence of the class of typically-real functions.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32014Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 9, núm. 1 (1975); 23-28 0034-7426Burdick, G. R. and Merkes, E. P. (1975) On ratios of certain analytic functions. Revista Colombiana de Matemáticas; Vol. 9, núm. 1 (1975); 23-28 0034-7426 .On ratios of certain analytic functionsArtículo 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/ARTAnalytic functionsmembers are convexclass of typically-real functionsORIGINAL32014-117344-1-PB.pdfapplication/pdf1617533https://repositorio.unal.edu.co/bitstream/unal/42390/1/32014-117344-1-PB.pdf2a02dfbe16b0ba68b7433b01c52680baMD51THUMBNAIL32014-117344-1-PB.pdf.jpg32014-117344-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6561https://repositorio.unal.edu.co/bitstream/unal/42390/2/32014-117344-1-PB.pdf.jpg27734dd9228eed31c842d423e070b63cMD52unal/42390oai:repositorio.unal.edu.co:unal/423902023-02-07 23:05:55.979Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On ratios of certain analytic functions
title On ratios of certain analytic functions
spellingShingle On ratios of certain analytic functions
Analytic functions
members are convex
class of typically-real functions
title_short On ratios of certain analytic functions
title_full On ratios of certain analytic functions
title_fullStr On ratios of certain analytic functions
title_full_unstemmed On ratios of certain analytic functions
title_sort On ratios of certain analytic functions
dc.creator.fl_str_mv Burdick, G. R.
Merkes, E. P.
dc.contributor.author.spa.fl_str_mv Burdick, G. R.
Merkes, E. P.
dc.subject.proposal.spa.fl_str_mv Analytic functions
members are convex
class of typically-real functions
topic Analytic functions
members are convex
class of typically-real functions
description Let H(z) = f(z) /g(z) and h(z) = f'(z) / g'(z) where bath f and g are in one of the classes whose  members are convex, starlike relative to the origin, or typicallyreal in the open unit disk E. Sharp bounds on   ∝ and gt; 0 and β and gt; 0 such that Re {H(z) } ∝ and gt; 0,  Re {h (z) } β and gt; 0, z ∈ E, are obtained with one exception. In the case where h( z) is considered for f and g typically-real, z is restricted to the precise region in E of univalence of the class of typically-real functions.
publishDate 1975
dc.date.issued.spa.fl_str_mv 1975
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:47:06Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:47:06Z
dc.type.spa.fl_str_mv Artículo de revista
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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/42390
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32487/
url https://repositorio.unal.edu.co/handle/unal/42390
http://bdigital.unal.edu.co/32487/
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/32014
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. 9, núm. 1 (1975); 23-28 0034-7426
dc.relation.references.spa.fl_str_mv Burdick, G. R. and Merkes, E. P. (1975) On ratios of certain analytic functions. Revista Colombiana de Matemáticas; Vol. 9, núm. 1 (1975); 23-28 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
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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/42390/1/32014-117344-1-PB.pdf
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