Veröffentlicht

1987-01-01

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

Schlagworte:


Analytic, univalent (es)

Autor/innen

  • E. P. Merkes University of Cincinnati

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.

Zitationsvorschlag

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 (Jan. 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 jan. 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), S. 5–12. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/32720 (Zugegriffen: 22 Januar 2025).

IEEE

[1]
E. P. Merkes, „On the convex sum of certain univalent functions and the identity function“, rev.colomb.mat, Bd. 21, Nr. 1, S. 5–12, Jan. 1987.

MLA

Merkes, E. P. „On the convex sum of certain univalent functions and the identity function“. Revista Colombiana de Matemáticas, Bd. 21, Nr. 1, Januar 1987, S. 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 (Januar 1, 1987): 5–12. Zugegriffen Januar 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. Januar 1987 [zitiert 22. Januar 2025];21(1):5-12. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/32720

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