• DINESH KUMAR

      Articles written in Proceedings – Mathematical Sciences

    • Semigroups of transcendental entire functions and their dynamics

      DINESH KUMAR SANJAY KUMAR

      More Details Abstract Fulltext PDF

      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.

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