Extremum problems for bounded univalent functions

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Extremum problems for bounded univalent functions

Olli Tammi

(Lecture notes in mathematics, 646, 913)

Springer-Verlag, 1978-

  • [1] : Berlin
  • [1] : New York
  • 2 : Berlin
  • 2 : New York

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Includes bibliographical references

Description and Table of Contents
Volume

[1] : Berlin ISBN 9783540087564

Table of Contents

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.
Volume

2 : Berlin ISBN 9783540112006

Table of Contents

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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