On the convex sum of certain univalent functions and the identity function
If g(z) is analytic, univalent, and convex in the unit disk E = {|z| and lt; 1}, g(0) = 0, g'(0) = 1, we extend some known results about the classification of Hλ(z) = λZ+ (1- λ)g(Z)when λ ≥ 0. In particular, it is proved Hλ is starlike in E for each λ ∈ [0, 1] when g" (0) = 0.
- Autores:
-
Merkes, E. P.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1987
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42881
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42881
http://bdigital.unal.edu.co/32979/
- Palabra clave:
- Analytic
univalent
- 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_abf2Merkes, E. P.d93d6fe0-c95b-4c84-9c18-4a1b1d13c60d3002019-06-28T11:17:28Z2019-06-28T11:17:28Z1987https://repositorio.unal.edu.co/handle/unal/42881http://bdigital.unal.edu.co/32979/If g(z) is analytic, univalent, and convex in the unit disk E = {|z| and lt; 1}, g(0) = 0, g'(0) = 1, we extend some known results about the classification of Hλ(z) = λZ+ (1- λ)g(Z)when λ ≥ 0. In particular, it is proved Hλ is starlike in E for each λ ∈ [0, 1] when g" (0) = 0.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32720Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 21, núm. 1 (1987); 5-12 0034-7426Merkes, E. P. (1987) On the convex sum of certain univalent functions and the identity function. Revista Colombiana de Matemáticas; Vol. 21, núm. 1 (1987); 5-12 0034-7426 .On the convex sum of certain univalent functions and the identity functionArtículo 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/ARTAnalyticunivalentORIGINAL32720-121104-1-PB.pdfapplication/pdf1928955https://repositorio.unal.edu.co/bitstream/unal/42881/1/32720-121104-1-PB.pdf6fdd7baf346dcd6d07048d1a2e5602f0MD51THUMBNAIL32720-121104-1-PB.pdf.jpg32720-121104-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6424https://repositorio.unal.edu.co/bitstream/unal/42881/2/32720-121104-1-PB.pdf.jpgf95e0f84af26696fc2086dc0764803daMD52unal/42881oai:repositorio.unal.edu.co:unal/428812023-02-09 23:04:45.002Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On the convex sum of certain univalent functions and the identity function |
| title |
On the convex sum of certain univalent functions and the identity function |
| spellingShingle |
On the convex sum of certain univalent functions and the identity function Analytic univalent |
| title_short |
On the convex sum of certain univalent functions and the identity function |
| title_full |
On the convex sum of certain univalent functions and the identity function |
| title_fullStr |
On the convex sum of certain univalent functions and the identity function |
| title_full_unstemmed |
On the convex sum of certain univalent functions and the identity function |
| title_sort |
On the convex sum of certain univalent functions and the identity function |
| dc.creator.fl_str_mv |
Merkes, E. P. |
| dc.contributor.author.spa.fl_str_mv |
Merkes, E. P. |
| dc.subject.proposal.spa.fl_str_mv |
Analytic univalent |
| topic |
Analytic univalent |
| description |
If g(z) is analytic, univalent, and convex in the unit disk E = {|z| and lt; 1}, g(0) = 0, g'(0) = 1, we extend some known results about the classification of Hλ(z) = λZ+ (1- λ)g(Z)when λ ≥ 0. In particular, it is proved Hλ is starlike in E for each λ ∈ [0, 1] when g" (0) = 0. |
| publishDate |
1987 |
| dc.date.issued.spa.fl_str_mv |
1987 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-28T11:17:28Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T11:17:28Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/42881 |
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http://bdigital.unal.edu.co/32979/ |
| url |
https://repositorio.unal.edu.co/handle/unal/42881 http://bdigital.unal.edu.co/32979/ |
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spa |
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spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/recolma/article/view/32720 |
| 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. 1 (1987); 5-12 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Merkes, E. P. (1987) On the convex sum of certain univalent functions and the identity function. Revista Colombiana de Matemáticas; Vol. 21, núm. 1 (1987); 5-12 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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application/pdf |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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