Escaping Sets of Composition of Transcendental Entire Functions


Affiliations

  • Central University of Rajasthan, Department of Mathematics, Kishangarh, 305817, 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

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