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Tomar, Garima
- On the Dynamics of Composition of Transcendental Entire Functions in Angular Region-II
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Authors
Affiliations
1 Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindri, Kishangarh-305817, Distt.-Ajmer, Rajasthan, IN
1 Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindri, Kishangarh-305817, Distt.-Ajmer, Rajasthan, IN
Source
The Journal of the Indian Mathematical Society, Vol 84, No 3-4 (2017), Pagination: 287-296Abstract
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.Keywords
Wandering Domain, Approximation Theory, Angular Region.References
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- G. Tomar, On the dynamics of composition of transcendental entire functions in angular region, Preprint.
- Escaping Sets of Composition of Transcendental Entire Functions
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Authors
Affiliations
1 Central University of Rajasthan, Department of Mathematics, Kishangarh, IN
1 Central University of Rajasthan, Department of Mathematics, Kishangarh, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 373–386Abstract
If f and g are transcendental entire functions, then so are f o g and g o f. We discuss here the dynamics of various types of escaping sets and also non-escaping sets of composition of transcendental entire functions f o g and g o f and also its relations with regard to its factors f and g.Keywords
Transcendental entire function, Escaping set, Julia setReferences
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