Geodesic
A sharp bound for the Schwarzian derivative of concave functions
Bappaditya Bhowmik 1   ; Karl-Joachim Wirths 2
1 Department of Mathematics National Institute of Technology Rourkela 769008, India
2 Institut für Analysis and Algebra TU Braunschweig 38106 Braunschweig, Germany
Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 245-251 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\pi \alpha $, $\alpha \in [1,2].$
DOI : 10.4064/cm128-2-10
Keywords: derive sharp bound modulus schwarzian derivative concave univalent functions opening angle infinity equal alpha alpha

Bappaditya Bhowmik  1   ; Karl-Joachim Wirths  2

1 Department of Mathematics National Institute of Technology Rourkela 769008, India
2 Institut für Analysis and Algebra TU Braunschweig 38106 Braunschweig, Germany 
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Bappaditya Bhowmik; Karl-Joachim Wirths. A sharp bound for the Schwarzian derivative
 of concave functions. Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 245-251. doi: 10.4064/cm128-2-10

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