A sharp bound for the Schwarzian derivative of concave functions

• Autorzy: Bappaditya Bhowmik , Karl-Joachim Wirths
• Języki publikacji: EN

Abstrakty

EN

We derive a sharp bound for the modulus of the Schwarzian derivative of concave univalent functions with opening angle at infinity less than or equal to πα, α ∈ [1,2].

Kategorie tematyczne

• 30C62: Quasiconformal mappings in the plane
• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
• 30C55: General theory of univalent and multivalent functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 2
• Strony: 245-251

Daty

wydano

2012

Twórcy

autor

Bappaditya Bhowmik

• Department of Mathematics, National Institute of Technology, Rourkela 769008, India

autor

Karl-Joachim Wirths

• Institut für Analysis and Algebra, TU Braunschweig, 38106 Braunschweig, Germany

Identyfikatory

DOI

10.4064/cm128-2-10