On the Dynamics of Composition of Transcendental Entire Functions in Angular Region-II

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Authors

  • Garima Tomar
     Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindri, Kishangarh-305817, Distt.-Ajmer, Rajasthan ,IN

DOI:

https://doi.org/10.18311/jims/2017/14915

Keywords:

Wandering Domain, Approximation Theory, Angular Region

Abstract

In [14] we showed that for transcendental entire functions f and g, there exist finitely many domains in an angular region, which lie in wandering component of f, wandering component of g and also in wandering component of f ° g and in wandering component of g ° f. Several other related results were discussed in that paper. In this paper we show the existence of such infinite components in angular region, using approximation theory.

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Published

2017-07-01

How to Cite

Tomar, G. (2017). On the Dynamics of Composition of Transcendental Entire Functions in Angular Region-II. The Journal of the Indian Mathematical Society, 84(3-4), 287–296. https://doi.org/10.18311/jims/2017/14915

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 Garima Tomar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-02-03
Accepted 2017-04-04
Published 2017-07-01

 

References

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G. Tomar, On the dynamics of composition of transcendental entire functions in angular region, Preprint.