On the convex sum of certain univalent functions and the identity function
Schlagworte:
Analytic, univalent (es)
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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: 9 apr. 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: 9 April 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 April 9, 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 9. April 2025];21(1):5-12. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/32720
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