On a class of starlike functions (Q2748169)
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scientific article; zbMATH DE number 1658942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of starlike functions |
scientific article; zbMATH DE number 1658942 |
Statements
1 September 2003
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starlike functions
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On a class of starlike functions (English)
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Let \(D^nf= z(1- z)^{-n-1}* f(z)\), where ``\(*\)'' stands for the convolution. The author defines a class of starlike functions of the form \(f(z)=z- \sum^\infty_{k=2} a_k z^k\), by imposing a condition on the operator \(D^nf\), and solve some extremal problems.
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