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On entire functions with infinite domains of normality

✍ Scribed by L. S. O. Liverpool

Publisher
Springer
Year
1974
Tongue
English
Weight
481 KB
Volume
10
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

Small Entire Functions with Infinite Gro
Small Entire Functions with Infinite Growth Index
✍ A. Bonilla πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 69 KB

In this paper, we prove that given Β΅ > 0 there exists a dense linear manifold M of entire functions, such that, lim zβ†’βˆž z∈l exp z Β΅ f z = 0 for every f ∈ M and l straight line and with infinite growth index for all non-null functions of M. Moreover, every non-null function of M has exactly 2 2Β΅ + 1