Abstract
We discuss the dynamics of semigroups of transcendental entire functions using Fatou-Julia theory and provide a condition for the complete invariance of escaping set and Julia set of transcendental semigroups. Results regarding limit functions and postsingular set are also derived. In addition, classes of hyperbolic and postsingularly bounded transcendental semigroups are given. We also provide certain criterion for non existence of wandering domains of transcendental semigroups. Copyright © 2016 Research India Publications.
| Original language | English |
|---|---|
| Pages (from-to) | 423-436 |
| Journal | Advances in Theoretical and Applied Mathematics |
| Volume | 11 |
| Issue number | 4 |
| Publication status | Published - 2016 |
Citation
Kumar, D., Kumar, S., & Poon, K. K. (2016). Escaping set and Julia set of transcendental semigroups. Advances in Theoretical and Applied Mathematics, 11(4), 423-436.Keywords
- Semigroup
- Normal family
- Completely invariant
- Hyperbolic