| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899942 | Journal of Mathematical Analysis and Applications | 2018 | 27 Pages |
Abstract
We consider transcendental meromorphic function for which the set of finite singularities of its inverse is bounded. Bergweiler and Kotus gave bounds for the Hausdorff dimension of the escaping sets if the function has no logarithmic singularities over â, the multiplicities of poles are bounded and the order is finite. We study the case of infinite order and find gauge functions for which the Hausdorff measure of escaping sets is zero or â.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wenli Li,