## Certain subclasses of analytic and bi-univalent functions.(English)Zbl 1201.30020

Summary: We introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk $\mathbb U := \{z : z \in \mathbb C \quad \text{and} \quad |z| <1\},$ whose inverse have univalent analytic continuations to $$\mathbb U$$. Among other results, bounds for the Taylor-Maclaurin coefficients $$|a_{2}|$$ and $$|a_{3}|$$ are found in our investigation.

### 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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