BOUNDED STABLE SETS OF SKEW PRODUCT FOR MEROMORPHIC FUNCTIONS

Valuations on Meromorphic Functions of Bounded Type

The primary purpose of this paper is to show that every valuation on the field of meromorphic functions of bounded type on a finitely sheeted unlimited covering Riemann surface is a point valuation if and only if the same is true on its base Riemann surface. The result is then applied to concrete examples and some related results are obtained. Any valuation on the field M(W) of single valued me...

On Meromorphic Functions of Bounded Characteristic

Dimensions of Julia Sets of Meromorphic Functions

It is shown that for any meromorphic function f the Julia set J(f) has constant local upper and lower box dimensions, d(J(f)) and d(J(f)) respectively, near all points of J(f) with at most two exceptions. Further, the packing dimension of the Julia set is equal to d(J(f)). Using this result it is shown that, for any transcendental entire function f in the class B (that is, the class of function...

Uniqueness of Meromorphic Functions Sharing Sets

In this article, we investigate the problem of uniqueness of meromorphic functions sharing one set and having deficient values, and obtain a result which provides an answer to a question of F.Gross [2] and H.X.Yi [9].

Meromorphic Functions, Bifurcation Sets and Fibred Links

We give a necessary condition for a meromorphic function in several variables to give rise to a Milnor fibration of the local link (respectively of the link at infinity). In the case of two variables we give some necessary and sufficient conditions for the local link (respectively the link at infinity) to be fibred.