AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS
Let S be the class of functions f(z)=z+a2z 2 …, f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z|<1. For 0≤x≤a≤1 we consider the equation Re [(x3 -a3 )f(x)]=0, fєS. (1) Denote φ(x)=Re [(x3 -a3 )f(x)]. Because φ(0)=0 and φ(a)=0 it follows that there is x0є(0,a) suc...
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Format: | Article |
Language: | English |
Published: |
Academica Brâncuşi
2010-12-01
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Series: | Analele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie |
Subjects: | |
Online Access: | http://www.utgjiu.ro/revista/ec/pdf/2010-04.I/19_MIODRAG_IOVANOV.pdf |