AN THE ECUATION Re [(x-a)f(x)]=0, fєS

AN THE ECUATION Re [(x-a)f(x)]=0, fєS

Let S be the class of functions f(z)=z+a2z2…, f(0)=0, f′(0)=1 which are regular and univalent in theunit disk |z|<1.For 0≤x≤a≤1 we consider the equationRe [(x-a)f(x)]=0, fєS. and Re [(x3-a3)f(x)]=0. (1)Denote φ(x)=Re [(x-a)f(x)]. Because φ(0)=0 and φ(a)=0 it follows that there is x0є(0,a) such th...

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Bibliographic Details
Main Author: Miodrag IOVANOV
Format: Article
Language:English
Published: Academica Brancusi 2012-05-01
Series:Fiabilitate şi Durabilitate
Subjects:
function
variation
finite number
Online Access:http://www.utgjiu.ro/rev_mec/mecanica/pdf/2012-01.Supliment/68_Miodrag%20Iovanov.pdf

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