Coefficient estimates for a subclass of analytic and bi-univalent functions

Document Type: Research Paper


1 Department of Mathematics‎, ‎Shahrood University Of Technology‎, ‎P.O‎. ‎Box 316-36155‎, ‎Shahrood‎, ‎Iran.

2 Department of Mathematics‎, ‎Mobarakeh Branch‎, ‎Islamic Azad University‎, ‎Mobarakeh‎, ‎P.O‎. ‎Box 84819-97817‎, ‎Isfahan‎, ‎Iran.


In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.


Main Subjects

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