Dynamics of Composite Entire Functions

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Authors

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

Keywords:

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

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.

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Published

2015-12-01

How to Cite

Kumar, D., Datt, G., & Kumar, S. (2015). Dynamics of Composite Entire Functions. The Journal of the Indian Mathematical Society, 82(3-4), 107–114. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/1686

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 Dinesh Kumar, Gopal Datt, Sanjay Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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