4. The Components of the Fatou set 4.1. The types of domains of normality 4.2. The classification of periodic components 4.3. The role of the singularities of the inverse function 4.4. The connectivity of the components of the Fatou set 4.5. Wandering domains 4.6. Classes of functions without wandering domains 4.7. Baker domains 4.8. Classes of functions without Baker domains 4.9. Completely in...

The contact structure of two meromorphic curves gives a factorization of their jacobian. Section 1: Introduction Let J(F,G) = J(X,Y )(F,G) be the jacobian of F = F (X,Y ) and G = G(X,Y ) with respect to X and Y , i.e., let J(F,G) = FXGY − FY GX where subscripts denote partial derivatives. Here, to begin with, F and G are plane curves, i.e., polynomials in X and Y over an algebraically closed gr...

In this paper, we investigate the relationship between a meromorphic function f(z) and its difference operator when they share two sets, and give some interesting results.

Let K be a compact subset of a connected Stein manifold X. We study algebraic properties of the ring of meromorphic functions on X without poles in K.

We prove that Mues’ conjecture holds for the secondand higher-order derivatives of a square and higher power of any transcendental meromorphic function. 2000 Mathematics Subject Classification. 30D35.

Proving a normality criterion for a family of meromorphic functions we exhibit a counterexample to the general converse of Bloch principle.

In this paper, we introduce some subclasses of meromorphic functions in the punctured unit disc. Several inclusion relationships and some other interesting properties of these classes are discussed.

In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities, convolution and other interesting results are investigated.