Extended escaping set for meromorphic functions outside a countable set of transcendental singularities

We consider the class K of functions f that are meromorphic outside a compact and countable set B(f ), which is the closure of isolated transcendental singularities of f. We define the extended escaping set Ib(f) and prove that Ib(f) is a dynamical invariant. Using curves contained in Ib(f) we define the itinerary of an escaping curve for transcendental singularities. As an example we study the function f(z) = e sin z + z + 27r and show that it has an escaping curve contained in a wandering domain with a wandering end-point.