• Semigroups of transcendental entire functions and their dynamics

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      https://www.ias.ac.in/article/fulltext/pmsc/127/02/0349-0360

    • Keywords

       

      Semigroup; normal family; Fatou set; periodic component

    • Abstract

       

      We investigate the dynamics of semigroups of transcendental entire functions using Fatou–Julia theory. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroups. We provide some condition for connectivity of the Julia set of the transcendental semigroups. We also study finitely generated transcendental semigroups, abelian transcendental semigroups and limit functions of transcendental semigroups on its invariant Fatou components.

    • Author Affiliations

       

      DINESH KUMAR1 SANJAY KUMAR2

      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
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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