Jñānābha‎, Vol. 51 (1) (2021), (172-181)

ON THE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE LOGARITHMIC (p, q)-ORDER


By

Chinmay Ghosh¹ , Subhadip Khan² and Sutapa Mondal³

¹,³Department of Mathematics Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H., Asansol-713340, West Bengal, India

²Jotekamal High School, Village- Jotekamal, Block- Raghunathganj 2, Post- Jangipur, Dist- Murshidabad, Pin- 742213, West Bengal, India

¹chinmayarp@gmail.com, ²subhadip204@gmail.com, ³sutapapinku92@gmail.com

(Received : September 11, 2020, Revised : September 19, 2020 ; Final form : May 07, 2021)


Abstract

In this paper we explain some relationships on the composition of two entire functions with its left or right factor in terms of their maximum terms. Further under some suitable conditions we also investigate the comparative growth of the maximum terms of two composite entire functions with finite logarithmic (p, q)-order having same left or right factor respectively.


2010 Mathematics Subject Classification: 30D20, 30D35.

Keywords and phrases: entire function, logarithmic (p, q)-order, logarithmic lower (p, q)-order, composition.


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