On integral means of star-like functions |
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| Authors: | Larisa Gromova Alexander Vasil’ev |
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| Institution: | (1) Department of Mathematics and Mechanics, Saratov State University, 410026 Saratov, Russia;(2) Departamento de Matemática, Universidad Técnica Federico Santa María, 110-V Casilla, Valparaíso, Chile |
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| Abstract: | We study univalent holomorphic functions in the unit diskU = {z: |z| < 1} of the formf(z)=z+∑
n=2
∞
a
n
z
n
that satisfy the condition Re zf’(z)/f(z) > α with α∈ 0, 1) inU. Some integral means of such funcions are estimated. |
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| Keywords: | Star-like function integral mean univalent function |
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