- Tytuł:
- On a theorem of Haimo regarding concave mappings
- Autorzy:
-
Chuaqui, Martin
Duren, Peter
Osgood, Brad - Powiązania:
- https://bibliotekanauki.pl/articles/747057.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
- Tematy:
-
Concave mapping
Schwarzian derivative
Schwarzian norm
Haimo’s theorem
univalence
Sturm comparison
asymptotically conformal curve - Opis:
- A relatively simple proof is given for Haimo’s theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo’s criterion, which is now shown to be sharp. It is proved that Haimo’s functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
- Źródło:
-
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402 - Pojawia się w:
- Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł