| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4616320 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via similarities that are bounded on such a sub-Arakelian set, then it is shown that its algebraic size is as large as possible. As a consequence, we prove that the set of universal entire functions bounded on every (straight) line is algebraically large.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M.C. Calderón-Moreno, J.A. Prado-Bassas,