Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions.

In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ = { z : z ∈ C , 1 < | z | < ∞ } . For functions belonging to these subclasses, estimates on the initial coefficient | b 0 | and | b 1 | are obtained. Some other closely related results are also represented. The coefficient bounds presented here are new in their own kind. We hope that this paper will generate further interest in applying our approach to other related problems.