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Artículo
A lot of “counterexamples” to Liouville's theorem
(Elsevier, 1996-08-01)
We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions and, in addition, limz→∞ exp(|z|α) f(j)(z) = 0 on any ...
Artículo
Small entire functions with extremely fast growth
(Elsevier, 1997-03-15)
We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip ...