The Journal of the Indian Mathematical Society

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Dynamics of Composite Entire Functions


Affiliations
1 Department of Mathematics, University of Delhi, Delhi-110 007, India
2 Department of Mathematics, Deen Dayal Upadhyaya College, University of Delhi, New Delhi-110 015, India
     

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It is known that the dynamics of f and g vary to a large extent from that of its composite entire functions. Using Approximation theory of entire functions, we have shown the existence of entire functions f and g having infinite number of domains satisfying various properties and relating it to their composition. We have explored and enlarged all the maximum possible ways of the solution in comparison to the past result worked out.

Keywords

Fatou Set, Wandering Domain, Carleman Set, Preperiodic Domain.
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  • Dynamics of Composite Entire Functions

Abstract Views: 240  |  PDF Views: 4

Authors

Dinesh Kumar
Department of Mathematics, University of Delhi, Delhi-110 007, India
Gopal Datt
Department of Mathematics, University of Delhi, Delhi-110 007, India
Sanjay Kumar
Department of Mathematics, Deen Dayal Upadhyaya College, University of Delhi, New Delhi-110 015, India

Abstract


It is known that the dynamics of f and g vary to a large extent from that of its composite entire functions. Using Approximation theory of entire functions, we have shown the existence of entire functions f and g having infinite number of domains satisfying various properties and relating it to their composition. We have explored and enlarged all the maximum possible ways of the solution in comparison to the past result worked out.

Keywords


Fatou Set, Wandering Domain, Carleman Set, Preperiodic Domain.