Pubblicato

1987-01-01

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

Parole chiave:


Analytic, univalent (es)

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Autori

  • 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.

Come citare

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 (gen. 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 gen. 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), pagg. 5–12. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32720 (Consultato: 22 gennaio 2025).

IEEE

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

MLA

Merkes, E. P. «On the convex sum of certain univalent functions and the identity function». Revista Colombiana de Matemáticas, vol. 21, n. 1, gennaio 1987, pagg. 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 (gennaio 1, 1987): 5–12. Consultato gennaio 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 gennaio 1987 [citato 22 gennaio 2025];21(1):5-12. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32720

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