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Coefficient estimates for new subclasses of meromorphic bi-univalent functions. (English) Zbl 1490.30007

Summary: We introduce and investigate two new subclasses \(\mathcal{M}_\sigma \left(\alpha, \lambda\right)\) and \(\mathcal{M}_\sigma \left(\beta, \lambda\right)\) of meromorphic bi-univalent functions defined on \(\Delta = \{z : z \in \mathbb{C}, 1 < | z | < \infty \}\). For functions belonging to these classes, estimates on the initial coefficients are obtained.

MSC:

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