ON THE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE ITERATED LOGARITHMIC ORDER
CHINMAY GHOSH(1), SANJIB KUMAR DATTA(2), SUTAPA MONDAL (3) and SUBHADIP KHAN(4)
1. Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H. Asansol-713340, West Bengal, INDIA e-mail: chinmayarp@gmail.com 2. Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, INDIA e-mail: sanjibdatta05@gmail.com 3. Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O. - Kalla C.H. Asansol-713340, West Bengal, INDIA e-mail: sutapapinku92@gmail.com 4. Jotekamal High School, Village-Jotekamal, Block-Raghunathganj 2, Post-Jangipur, Dist- Murshidabad, Pin-742213, West Bengal, INDIA e-mail: subhadip204@gmail.com
Abstract
In this article we studied some growth properties of composite entire functions with finite iterated logarithmic order. Also, we defined iterated logarithmic order of an entire func-tion by using their maximum term. Further, we proved some results on the growth of composite entire functions of finite iterated logarithmic order in terms of their maximum terms.