Iteration of meromorphic functions
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In this paper, the authors describe some of the results obtained in the iteration theory of transcendental meromorphic functions, not excluding the case of entire functions, and some aspects where the transcendental case is analogous to the rational case are treated rather briefly here.Abstract:
This paper attempts to describe some of the results obtained in the iteration theory of transcendental meromorphic functions, not excluding the case of entire functions. The reader is not expected to be familiar with the iteration theory of rational functions. On the other hand, some aspects where the transcendental case is analogous to the rational case are treated rather briefly here. For example, we introduce the different types of components of the Fatou set that occur in the iteration of rational functions but omit a detailed description of these types. Instead, we concentrate on the types of components that are special to transcendental functions (Baker domains and wandering domains).read more
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Results on meromorphic functions sharing three values cm in some angular domains
TL;DR: In this article, the uniqueness question of transcendental meromorphic functions that share three values in some angular domains instead of the whole complex plane was studied and the results in this paper extend the corresponding results in Zheng [13, 14] and Yi [12].
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Misiurewicz parameters for Weierstrass elliptic functions based on triangle and square lattices
TL;DR: For two families of Weierstrass elliptic functions based on triangular or square lattices, this article proved that the set of Misiurewicz parameters has the Lebesgue measure zero in C.
Open Research Online Oscillating simply connected wandering domains
TL;DR: In this article , a technique based on approximation theory is used to construct examples of all six types of simply connected wandering domains, which are bounded and return in a bounded part of the plane.
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Dynamics on Bungee Set of Transcendental entire Functions
Ramanpreet Kaur,Dinesh Kumar +1 more
TL;DR: In this article, the basic properties of the Bungee set of a transcendental entire function are explored and a class of permutable entire functions for which their Bungee sets are equal is given.
On the J ulia Set s of Permuta ble Tra nsce nde ntal Entire Functio ns
TL;DR: In this article, it was shown that for any positive integer n and m, the function h(p(z) + az ∈ B is a polynomial with deg p ≥ 2 and a (≠ 0) ∈ C.
References
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TL;DR: A can is a can made of a steel sheet the surface of which is coated with a three-layered chromium coating, consisting of a metallic chromium coated, a crystalline chromium oxide coating and a non-crystalline hydrated chromiumoxide coating in this order.