- Tytuł:
- On certain subclasses of bounded univalent functions
- Autorzy:
-
Fuka, J.
Jakubowski, Z. - Powiązania:
- https://bibliotekanauki.pl/articles/1312525.pdf
- Data publikacji:
- 1991
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
-
Let = {z ∈ ℂ; |z| < 1}, T = {z ∈ ℂ; |z|=1}. Denote by S the class of functions f of the form
f(z) = z + a₂z² + ...
holomorphic and univalent in , and by S(M), M > 1, the subclass of functions f of the family S such that |f(z)| < M in . We introduce (and investigate the basic properties of) the class S(M,m;α), 0 < m ≤ M < ∞, 0 ≤ α ≤ 1, of bounded functions f of the family S for which there exists an open $arc I_α = I_α(f) ⊂ T$ of length 2πα such that $\overline{lim}_{z→ z₀, z ∈ } |f(z)| ≤ M$ for every $z₀ ∈ I_α$ and $\overline{lim}_{z→ z₀,z∈ } |f(z)|≤ m$ for every $z₀ ∈ T \ Ī_α$. - Źródło:
-
Annales Polonici Mathematici; 1991, 55, 1; 109-115
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł