  We consider a class of functions, denoted by K in this paper, which are
meromorphic outside a compact and countable set B(f), investigated by A. Bolsch
in his thesis in 1997. The set B(f) is the closure of isolated essential
singularities. We review main definitions and properties of the Fatou and Julia
sets of functions in class K. It is studied the role of B(f) in this context.
Following Eremenko it is defined escaping sets and we prove some results
related to them. For instance, the dynamics of a function is extended to its
singularities using escaping hairs. We give an example of an escaping hair with
a wandering singular end point, where the hair is contained in a wandering
domain of f in K.
