On dynamics of composite entire functions and singularities

Dinesh Kumar; Sanjay Kumar

On dynamics of composite entire functions and singularities

Dynamical Systems 2014-05-20 v2

Authors: Dinesh Kumar , Sanjay Kumar

Abstract

We consider the dynamical properties of transcendental entire functions and their compositions. We give several conditions under which Fatou set of a transcendental entire function $f$ coincide with that of $f\circ g,$ where $g$ is another transcendental entire function. We also prove some result giving relationship between singular values of transcendental entire functions and their compositions.

Keywords

function theory dynamical systems and chaos special functions

Cite

@article{arxiv.1307.5785,
  title  = {On dynamics of composite entire functions and singularities},
  author = {Dinesh Kumar and Sanjay Kumar},
  journal= {arXiv preprint arXiv:1307.5785},
  year   = {2014}
}

Comments

7 pages, accepted for publication in Bull. Cal. Math. Soc

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