Notes on multivalent functions (Q1901619)
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scientific article; zbMATH DE number 817664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on multivalent functions |
scientific article; zbMATH DE number 817664 |
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Notes on multivalent functions (English)
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16 November 1995
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The authors of this paper prove that if \(f(z) = z^p + a_{p + 1} z^{p + 1} + \cdots \), \(p \geq 3\), is regular in the unit disc \(\Delta = \{z : |z |< 1\}\) and satisfies the condition \(\text{Re} f^{(p)} (z) > 0\) then \(f\) is \(p\)-valent in \(\Delta\).
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