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...
- 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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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 |
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/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 |
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/42390/1/32014-117344-1-PB.pdf https://repositorio.unal.edu.co/bitstream/unal/42390/2/32014-117344-1-PB.pdf.jpg |
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Repositorio Institucional Universidad Nacional de Colombia |
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repositorio_nal@unal.edu.co |
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1814089903042985984 |