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On the growth of zero-free MacLane-universal entire functions
(Elsevier, 2012-09)
We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal in the sense of MacLane. Specifically, it is proved that if the lower exponential growth order of ...
Artículo
Large subspaces of compositionally universal functions with maximal cluster sets
(Elsevier, 2012-02)
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional ...