The Journal of the Indian Mathematical Society

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


Affiliations
1 Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindri, Kishangarh-305817, Distt.-Ajmer, Rajasthan, India
     

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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.
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  • 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, India

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.

Keywords


Wandering Domain, Approximation Theory, Angular Region.

References