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

E. P. Merkes

Published

1987-01-01

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

Keywords:

Analytic, univalent (es)

Downloads

PDF (Español)

Authors

E. P. Merkes University of Cincinnati

Abstract (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.

How to Cite

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), pp. 5–12. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32720 (Accessed: 22 January 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, pp. 5–12, Jan. 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, Jan. 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 (January 1, 1987): 5–12. Accessed January 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]. 1987 Jan. 1 [cited 2025 Jan. 22];21(1):5-12. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/32720