Multivalent functions from the extended Becker and Nehari classes and their hydromechanical interpretation (Q1589053)

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scientific article; zbMATH DE number 1541485
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Multivalent functions from the extended Becker and Nehari classes and their hydromechanical interpretation
scientific article; zbMATH DE number 1541485

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    Multivalent functions from the extended Becker and Nehari classes and their hydromechanical interpretation (English)
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    7 March 2001
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    The paper deals with inequalities which imply univalence of analytic functions. It is shown that Becker's inequality is not able to obtain an \(n\)-valent criterion for \(n>1\). The investigation is based on the construction of appropriate functions. There is a hydrodynamical interpretation of the corresponding functions.
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    multivalent function
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    univalent criterion
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    complex potential
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