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1987-01-01
On the convex sum of certain univalent functions and the identity function
Mots-clés :
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.
Comment citer
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 (janv. 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 janv. 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), p. 5–12. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32720 (Consulté le: 22 janvier 2025).
IEEE
[1]
E. P. Merkes, « On the convex sum of certain univalent functions and the identity function », rev.colomb.mat, vol. 21, nᵒ 1, p. 5–12, janv. 1987.
MLA
Merkes, E. P. « On the convex sum of certain univalent functions and the identity function ». Revista Colombiana de Matemáticas, vol. 21, nᵒ 1, janvier 1987, p. 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 (janvier 1, 1987): 5–12. Consulté le janvier 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 janv. 1987 [cité 22 janv. 2025];21(1):5-12. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32720
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© Revista Colombiana de Matemáticas 1987
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