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New subclasses of bi-univalent functions. (English) Zbl 1218.30024
Summary: We introduce two new subclasses of the function class $$\varSigma$$ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients $$|a_{2}|$$ and $$|a_{3}|$$ for functions in these new subclasses.

##### MSC:
 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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##### References:
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