Jñānābha‎, Vol. 50 (1) (2020), 218-231

GROWTHS OF COMPOSITE ENTIRE FUNCTIONS DEPENDING ON GENERALIZED RELATIVE LOGARITHMIC ORDER

By

Chinmay Ghosh1, Sanjib Kumar Datta2 , Sutapa Mondal3 , Subhadip Khan4
1,3Department of Mathematics
Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H., Asansol-713340, West Bengal, India.
2Department of Mathematics
University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
4Jotekamal High School, Village- Jotekamal, Block- Raghunathganj 2,
Post- Jangipur, Dist- Murshidabad, Pin- 742213, West Bengal, India.
Email: 1chinmayarp@gmail.com, 2sanjibdatta05@gmail.com,
3sutapapinku92@gmail.com, 4subhadip204@gmail.com
(Received : June 12, 2020 ; Revised: June 15, 2020)

Abstract

In this paper we introduce the concept of generalized relative logarithmic order and generalized relative lower logarithmic order of an entire function. We investigate some newly developed results on the growth rates of composite entire functions depending on generalized relative logarithmic orders and generalized relative lower logarithmic orders.

2010 Mathematics Subject Classifications: 30D20, 30D30, 30D35.
Keywords and phrases: Entire function, generalized relative logarithmic order, generalized relative lower logarithmic order.