A sharp bound for the Schwarzian derivative of concave functions

Bappaditya Bhowmik; Karl-Joachim Wirths

Colloquium Mathematicae (2012)

  • Volume: 128, Issue: 2, page 245-251
  • ISSN: 0010-1354

Abstract

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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].

How to cite

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Bappaditya Bhowmik, and Karl-Joachim Wirths. "A sharp bound for the Schwarzian derivative of concave functions." Colloquium Mathematicae 128.2 (2012): 245-251. <http://eudml.org/doc/283799>.

@article{BappadityaBhowmik2012,
abstract = {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].},
author = {Bappaditya Bhowmik, Karl-Joachim Wirths},
journal = {Colloquium Mathematicae},
keywords = {Schwarzian derivative; concave functions; opening angle at infinity},
language = {eng},
number = {2},
pages = {245-251},
title = {A sharp bound for the Schwarzian derivative of concave functions},
url = {http://eudml.org/doc/283799},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Bappaditya Bhowmik
AU - Karl-Joachim Wirths
TI - A sharp bound for the Schwarzian derivative of concave functions
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 2
SP - 245
EP - 251
AB - 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].
LA - eng
KW - Schwarzian derivative; concave functions; opening angle at infinity
UR - http://eudml.org/doc/283799
ER -

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