Univalent functions and the Riemann mapping theorem
Author:
P. R. Garabedian
Journal:
Proc. Amer. Math. Soc. 61 (1976), 242-244
MSC:
Primary 30A30
DOI:
https://doi.org/10.1090/S0002-9939-1976-0425094-5
MathSciNet review:
0425094
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Abstract: A proof of the Riemann mapping theorem is given that depends on variational formulas for univalent functions. The method of proof can be used to simplify the derivation of the ordinary differential equation for extremal univalent functions given by Schiffer in 1938.
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DOI:
https://doi.org/10.1090/S0002-9939-1976-0425094-5
Article copyright:
© Copyright 1976
American Mathematical Society