Univalence criteria for meromorphic functions and quasiconformal extensions

Abstract

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. MSC: Primary 30C80; secondary 30C45; 30C62

Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

“…and Theorem 2 follows easily from ( 29) and (30), and it is easy to have the bounds in (27) are attained for F given by (28).…”

“…Also the concept of δ neighborhoods and partial sums of analytic functions to the class M n,q p,α (η, A, B). Interesting results about meromorphic functions can be found in the works [25][26][27][28][29][30][31].…”