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COMPARATIVE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE LOGARITHMIC ORDER


CHINMAY GHOSH 1, SANJIB KUMAR DATTA 2, SUBHADIP KHAN 3 AND SUTAPA MONDAL 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. Jotekamal High School, Village-Jotekamal, Block-Raghunathganj 2, Post-Jangipur, Dist- Murshidabad, Pin-742213, West Bengal, INDIA e-mail: subhadip204@gmail.com
4. Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O. - Kalla C.H. Asansol-713340, West Bengal, INDIA e-mail: sutapapinku92@gmail.com

Issue:

SSRSMI, Number 1, Volume XXX

Section:

Volume 30, Number 1

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.

Keywords:

Entire function, Logarithmic order, Maximum term, Composition.

Code [ID]:

SSRSMI202001V30S01A0005 [0005283]

Note:

Full paper:

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