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Research Article

RELATIVE $(\alpha ,\beta ,\gamma )$-ORDER OF COMPOSITE ENTIRE FUNCTIONS RELATED TO MAXIMUM TERMS

C
Chinmay Biswas Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia - 741302, West Bengal, INDIA
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Sudipta Kumar Pal Department of Mathematics, Jangipur College, Jangipur, Murshidabad - 742213, West Bengal, INDIA
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Bablu Chandra Das Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia - 741302, West Bengal, INDIA
Volume 13, Issue 2 Pages 13-30 June 30, 2026 16 downloads
Article overview

Abstract

In this paper, we discuss maximum term related to some growth properties of composite entire functions with respect to another entire function using the relative $(\alpha ,\beta ,\gamma )$-order and relative $(\alpha ,\beta,\gamma )$-lower order and derive some results with their left and right factors. We also obtain the integral representations of relative $(\alpha,\beta ,\gamma )$-order and relative $(\alpha ,\beta ,\gamma )$-lower order of entire functions using maximum terms. 

Keywords and Phrases

Entire functionmaximum termcompositionrelative $(\alpha\beta\gamma )$- orderrelative $(\alpha\beta\gamma )$-lower order.

AMS Subject Classification

Primary 30D20, Secondary 30D15.

Reference information

How to Cite

Chinmay Biswas, Sudipta Kumar Pal, Bablu Chandra Das (2026). RELATIVE $(\alpha ,\beta ,\gamma )$-ORDER OF COMPOSITE ENTIRE FUNCTIONS RELATED TO MAXIMUM TERMS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(2), 13-30.
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