Iteration of entire functions
Citations
92 citations
Cites background from "Iteration of entire functions"
...It was shown in [14] that Eremenko’s construction in [18] of points in I(f) actually gives points that are in A(f)....
[...]
...We begin by showing that A(f) has properties corresponding to the properties of I(f) proved by Eremenko [18] that we listed in (1....
[...]
...For a transcendental entire function f , the escaping set was first studied by Eremenko [18] who proved that...
[...]
...Much of the work on I(f) has been motivated by Eremenko’s conjecture [18] that every component of I(f) is unbounded....
[...]
51 citations
Cites methods from "Iteration of entire functions"
...Eremenko and Lyubich [23] as well as Goldberg and Keen [27] extended Sullivan’s theorem to the Speiser class S of entire functions for which the set of critical and asymptotic values is finite....
[...]
...We thank Alex Eremenko for a useful discussion about the Riemann– Hurwitz formula, Núria Fagella for a conversation that led us to include Theorem 7.1, Jian-Hua Zheng for drawing our attention to the question answered by Theorem 1.9, and Dave Sixsmith and the referee for helpful comments....
[...]
...A. E. Eremenko and M. Yu....
[...]
...To prove several of our theorems, we need the following result which is based on a technique due to Eremenko [22] using Wiman–Valiron theory....
[...]
...L. Rempe, ‘On a question of Eremenko concerning escaping components of entire functions’, Bull....
[...]
47 citations
40 citations
References
1,620 citations
"Iteration of entire functions" refers background in this paper
...2 can be found in textbooks on complex dynamics [9, 30, 36]....
[...]
...The analogous result for rational functions can be found in standard textbooks on complex dynamics [9, 30, 36]....
[...]
737 citations
563 citations
"Iteration of entire functions" refers result in this paper
...These results were proved by Nevanlinna in 1924; see [24, 26, 31]....
[...]