Extremum problems for bounded univalent functions
著者
書誌事項
Extremum problems for bounded univalent functions
（Lecture notes in mathematics, 646,
Springer-Verlag, 1978-
- [1] : Berlin
- [1] : New York
- 2 : Berlin
- 2 : New York
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
-
[1] : Berlin ISBN 9783540087564
目次
Loewner-functions.- Generalized Loewner-functions.- A generalization of the class S(b).- Functions with bounded boundary rotation.- Variation of Green's function.- The schiffer-condition for S(b)-functions.- The coefficient a3.- The power inequality.- Application to the coefficient a3 and a4.- Optimization of parameters for N=1.- Optimization in the case N=3.- The power inequality.- On generalizing the power inequality.
- 巻冊次
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2 : Berlin ISBN 9783540112006
目次
Determination of the coefficient body (a2, a3) by aid of a perfect square method.- The linear combination a3+?a2 in SR(b).- Re (a3+?a2) in S(b).- Determination of extremal domains.- A Loewner-identity for finding the Power-inequality for a second coefficient body in SR(b).- Schiffer's differential equation for functions 2?3.- A generalized power-inequality for SR(b)-functions.- Consequences for the second coefficient body in SR(b).
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