Asymptotic estimates and properties of univalent functions with quasiconformal continuation.
It is known that if is holomorphic in the open unit disc of the complex plane and if, for some , , , then . We consider a meromorphic analogue of this result. Furthermore, we introduce and study the class of meromorphic Bloch-type functions that possess a nonzero simple pole in . In particular, we obtain bounds for the modulus of the Taylor coefficients of functions in this class.
We define certain classes of functions associated with functions of bounded variation. Some characterizations of those classes are given.