Items for "approximation by derivatives"

MacLane functions with prescribed zeros and interpolation properties

An entire function φ is called universal in the sense of MacLane (for short MacLane function) if for any preassigned entire function f a suitable sequence φ^(n_k) of derivatives of φ converges to f locally uniformly in the whole plane...

Keywords: spaces of entire functions, universality, approximation by derivatives, zeros, interpolation