- Tytuł:
- Integral representations of bounded starlike functions
- Autorzy:
- Rønning, Frode
- Powiązania:
- https://bibliotekanauki.pl/articles/1311642.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Cauchy-Stieltjes integrals
starlike functions - Opis:
- For α ≥ 0 let $ℱ_α$ denote the class of functions defined for |z| < 1 by integrating $1/(1-xz)^α$ if α > 0, and log(1/(1-xz)) if α = 0, against a complex measure on |x| = 1. We study families of starlike functions where zf'(z)/f(z) ranges over a parabola with given focus and vertex. We prove a number of properties of these functions, among others that they are bounded and that they belong to $ℱ_0$. In general, it is only known that bounded starlike functions belong to $ℱ_α$ for α > 0.
- Źródło:
-
Annales Polonici Mathematici; 1994-1995, 60, 3; 289-297
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł