Univalence criteria for meromorphic functions and quasiconformal extensions
نویسندگان
چکیده
The aim of this paper is to obtain sufficient conditions for univalence of meromorphic functions in the U *. Also, we refine a quasiconformal extension criterion with the help of Becker's method. A number of univalence conditions would follow upon specializing the parameters involved in our main results. 1 Introduction We denote by U r = {z ∈ C : |z| < r} ( < r ≤ ) the disc of radius r and let U = U . Let A denote the class of analytic functions in the open unit disc U which satisfy the usual
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