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The dynamics of semigroups of transcendental entire functions I

Author

Listed:
  • Dinesh Kumar

    (University of Delhi)

  • Sanjay Kumar

    (University of Delhi)

Abstract

We consider the dynamics associated with an arbitrary semigroup of transcendental entire functions. Fatou-Julia theory is used to investigate the dynamics of these semigroups. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroup case. We also investigate the dynamics of conjugate semigroups, abelian transcendental semigroups and wandering and Baker domains of transcendental semigroups.

Suggested Citation

  • Dinesh Kumar & Sanjay Kumar, 2015. "The dynamics of semigroups of transcendental entire functions I," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(1), pages 11-24, February.
    • Handle: RePEc:spr:indpam:v:46:y:2015:i:1:d:10.1007_s13226-015-0104-0
    DOI: 10.1007/s13226-015-0104-0
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    Cited by:

    1. Dinesh Kumar & Sanjay Kumar, 2016. "The dynamics of semigroups of transcendental entire functions II," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(3), pages 409-423, September.
    2. Ramanpreet Kaur & Dinesh Kumar, 2021. "Results on escaping set of an entire function and its composition," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 79-86, March.

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