Phillip J. Rippon

On questions of Fatou and Eremenko

Let

On the structure of the Mandelbar set

f

Slow escaping points of meromorphic functions

be a transcendental entire function and let

ESCAPING POINTS OF MEROMORPHIC FUNCTIONS WITH A FINITE NUMBER OF POLES

I(f)

Boundaries of escaping Fatou components

be the set of points whose iterates under

Dimensions of Julia sets of meromorphic functions

f

Families of Baker domains: I

tend to infinity. We show that

Dimensions of Julia sets of meromorphic functions with finitely many poles

I(f)

Baker domains of meromorphic functions

has at least one unbounded component. In the case that

Singularities of meromorphic functions with Baker domains

f