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