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Iteration of entire functions
TLDR
In this article, the results discussed in the lectures at the CIMPA school in Kathmandu in November 2014 were discussed and the proofs of the results were given. But some references to the literature where proofs can be found are given.Abstract:
These notes contain the results discussed in the lectures at the CIMPA school in Kathmandu in November 2014. They contain only some of the proofs, but some references to the literature where proofs can be found are given.read more
Citations
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On the Partition of Fast Escaping Sets of a Transcendental Entire Function
TL;DR: In this paper , the Eremenko conjecture of fast escaping sets has been proved in a special case by defining the fast escaping set A ( f ), which consists of points that move to infinity as fast as possible.
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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.
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Structurally Similar Sets of Transcendental Entire Function
TL;DR: In complex dynamics, the complex plane is partitioned into invariant subsets as discussed by the authors, and these subsets are of course Fatou set and Julia set, which are invariant in the classical sense.
References
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Book
Dynamics in one complex variable
TL;DR: In this article, the dynamics of iterated holomorphic mappings from a Riemann surface to itself are studied, focusing on the classical case of rational maps of the RiemANN sphere.
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Iteration of meromorphic functions
TL;DR: 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.
On Meromorphic Functions. I
TL;DR: In this article, the applications of homogeneous differential polynomials to the Nevanlinna theory of meromorphic functions in the finite complex plane have been given, and some generalizations by these polynomial coefficients have been shown.