The Theory of Extremal Problems for Univalent Functions of Class S, Issue 101

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American Mathematical Soc., 1975 - Mathematics - 327 pages
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Translation of K teorii cekstremalnykh zadach dleiia odnolistnykh funketisii klassa S.
 

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Contents

Introduction
1
VARIATION OF FUNCTIONALS AND OF UNIVALENT FUNCTIONS OF CLASS S
7
THE COEFFICIENT REGION OF UNIVALENT FUNCTIONS
55
CONSTRUCTION OF THE VARIATION OF UNFVALENT FUNCTIONS AND OF FUNCTIONALS FOR ADMISSIBLE FUNCTIONS OF A GENE...
90
AN INVESTIGATION OF THE SECOND VARIATION OF LINEAR FUNCTIONALS
160
ON THE SMOOTHNESS OF THE BOUNDARY OF THE COEFFICIENT REGION
214
ON EXTREMAL FUNCTIONS WHICH SATISFY MORE THAN ONE DIFFERENTIAL EQUATION
267
ON EXTREMAL FUNCTIONS YIELDING A LOCAL EXTREMUM OF A LINEAR FUNCTIONAL
286
ON SUFFICIENT CONDITIONS FOR A LOCAL EXTREMUM AND ON THE KOEBE FUNCTION
296
ON A CONVEXITY PROPERTY OF THE COEFFICIENT REGION
316
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