AN EXTREMAL REGION FOR UNIVALENT FUNCTIONS
Let S be the class of functions f(z)=z+22a z + …,f(0)=0 , f′(0)=1 which are regular andunivalent in the unit disk |z|<1.For -1≤-a<0 a 1,a>0 we consider the equation:Re [( 2 2 x a ) f x ] 0 , f S , x 1,1 .Denote φ(x)= Re [( 2 2 x a ) f x ].Because φ(0)=0 and φ( a)=0 it follows that there is...
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| Format: | Article |
| Language: | English |
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Academica Brancusi
2013-05-01
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| Series: | Fiabilitate şi Durabilitate |
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| Online Access: | http://www.utgjiu.ro/rev_mec/mecanica/pdf/2013-01.Supliment/70_Miodrag%20Iovanov.pdf |