Article
Small entire functions with extremely fast growth
Author/s | Bernal González, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1997-03-15 |
Deposit Date | 2019-06-19 |
Published in |
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Abstract | 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 ... 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 for every f ∈ M and for every derivation index j. Moreover, the growth index of each nonnull function of M is infinite with respect to any prefixed sequence of nonconstant entire functions. |
Project ID. | PB93-0926 |
Citation | Bernal González, L. (1997). Small entire functions with extremely fast growth. Journal of Mathematical Analysis and Applications, 207 (2), 541-548. |
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