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ITERATED ENTIRE FUNCTIONS AND THEIR GROWTH PROPERTIES ON THE BASIS OF (p, q)-TH ORDER

  • Biswas, Tanmay ;
  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Das, Pranab (Department of Mathematics, University of Kalyani) ;
  • Datta, Sanjib Kumar (Department of Mathematics, University of Kalyani)
  • Received : 2015.12.18
  • Accepted : 2016.01.25
  • Published : 2016.03.25

Abstract

Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

Keywords

Iterated entire function;Maximum modulus;Nevanlinna's characteristic function;Generalized (lower) order of an entire function;Generalized (lower) proximate order of a meromorphic function;(p, q)-th order and (p, q)-th lower order

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