On the convex sum of certain univalent functions and the identity function

E. P. Merkes

Publicado

1987-01-01

On the convex sum of certain univalent functions and the identity function

Palabras clave:

Analytic, univalent (es)

Descargas

PDF

Autores/as

E. P. Merkes University of Cincinnati

Resumen (en)

If g(z) is analytic, univalent, and convex in the unit disk E = {|z|< 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.

Cómo citar

APA

Merkes, E. P. (1987). On the convex sum of certain univalent functions and the identity function. Revista Colombiana de Matemáticas, 21(1), 5–12. https://revistas.unal.edu.co/index.php/recolma/article/view/32720

ACM

[1]

Merkes, E.P. 1987. On the convex sum of certain univalent functions and the identity function. Revista Colombiana de Matemáticas. 21, 1 (ene. 1987), 5–12.

ACS

(1)

Merkes, E. P. On the convex sum of certain univalent functions and the identity function. rev.colomb.mat 1987, 21, 5-12.

ABNT

MERKES, E. P. On the convex sum of certain univalent functions and the identity function. Revista Colombiana de Matemáticas, [S. l.], v. 21, n. 1, p. 5–12, 1987. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32720. Acesso em: 22 ene. 2025.

Chicago

Merkes, E. P. 1987. «On the convex sum of certain univalent functions and the identity function». Revista Colombiana De Matemáticas 21 (1):5-12. https://revistas.unal.edu.co/index.php/recolma/article/view/32720.

Harvard

Merkes, E. P. (1987) «On the convex sum of certain univalent functions and the identity function», Revista Colombiana de Matemáticas, 21(1), pp. 5–12. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32720 (Accedido: 22 enero 2025).

IEEE

[1]

E. P. Merkes, «On the convex sum of certain univalent functions and the identity function», rev.colomb.mat, vol. 21, n.º 1, pp. 5–12, ene. 1987.

MLA

Merkes, E. P. «On the convex sum of certain univalent functions and the identity function». Revista Colombiana de Matemáticas, vol. 21, n.º 1, enero de 1987, pp. 5-12, https://revistas.unal.edu.co/index.php/recolma/article/view/32720.

Turabian

Merkes, E. P. «On the convex sum of certain univalent functions and the identity function». Revista Colombiana de Matemáticas 21, no. 1 (enero 1, 1987): 5–12. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32720.

Vancouver

1.

Merkes EP. On the convex sum of certain univalent functions and the identity function. rev.colomb.mat [Internet]. 1 de enero de 1987 [citado 22 de enero de 2025];21(1):5-12. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32720