The Journal of the Indian Mathematical Society

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Escaping Sets of Composition of Transcendental Entire Functions


Affiliations
1 Central University of Rajasthan, Department of Mathematics, Kishangarh, India
     

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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 set
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  • Escaping Sets of Composition of Transcendental Entire Functions

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Authors

Anand P. Singh
Central University of Rajasthan, Department of Mathematics, Kishangarh, India
Garima Tomar
Central University of Rajasthan, Department of Mathematics, Kishangarh, India

Abstract


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 set

References





DOI: https://doi.org/10.18311/jims%2F2021%2F27840