COMPARATIVE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE LOGARITHMIC ORDER

  • CHINMAY GHOSH
    Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H. Asansol-713340, West Bengal, INDIA
    chinmayarp@gmail.com
  • SANJIB KUMAR DATTA
    Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, INDIA
    sanjibdatta05@gmail.com
  • SUBHADIP KHAN
    Jotekamal High School, Village-Jotekamal, Block-Raghunathganj 2, Post-Jangipur, Dist- Murshidabad, Pin-742213, West Bengal, INDIA
    subhadip204@gmail.com
  • SUTAPA MONDAL
    Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O. - Kalla C.H. Asansol-713340, West Bengal, INDIA
    sutapapinku92@gmail.com

Abstract

In this article we studied some growth properties of composite entire functions with finite logarithmic order. We also proved some results on the growth of composite entire func-tions of finite logarithmic order with respect to their maximum terms. Further we proved some results on the relative growth of one set of composite entire functions with another set of composite entire functions having the same right factor as well as having different left and right factors with respect to logarithmic order.

Cuvinte cheie

Entire function Logarithmic order Maximum term Composition