The Bohr's phenomenon for analytic functions and harmonic mappings.

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. orne interesting recen...

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Bibliographic Details
Main Author: Mohamed Ali, Rosihan
Format: Monograph
Published: Universiti Sains Malaysia 2015
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Online Access:http://eprints.usm.my/37013/
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Institution: Universiti Sains Malaysia
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Summary:In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. orne interesting recent developments involving other subclasses of analytic and bi-univalent functions are also briefly mentioned.