Köbe Function
المؤلف:
Bombieri, E.
المصدر:
"On the Local Maximum of the Koebe Function." Invent. Math. 4
الجزء والصفحة:
...
28-11-2018
1915
Köbe Function
The function
 |
(1)
|
defined on the unit disk 
. For 
, the Köbe function is a schlicht function
 |
(2)
|
with 
for all 
(Krantz 1999, p. 149). For 
,
 |
(3)
|
illustrated above.
REFERENCES:
Bombieri, E. "On the Local Maximum of the Koebe Function." Invent. Math. 4, 26-67, 1967.
Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 149, 1999.
Pederson, R. and Schiffer, M. "A Proof of the Bieberbach Conjecture for the Fifth Coefficient." Arch. Rational Mech. Anal. 45, 161-193, 1972.
Stewart, I. From Here to Infinity: A Guide to Today's Mathematics. Oxford, England: Oxford University Press, pp. 164-165, 1996.
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