Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(4): 1245-1259

Online first article September 9, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180448

Copyright © The Korean Mathematical Society.

On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher order

Nityagopal Biswas, Sanjib Kumar Datta, Samten Tamang

University of Kalyani; University of Kalyani; The University of Burdwan

Abstract

In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of $ \left[ p,q\right] -\varphi $ order, $\varphi $ being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.

Keywords: linear differential equations, meromorphic function, $[p,q]$-order, non-decreasing unbounded function

MSC numbers: 34M10, 30D35

Supported by: The firrst and second author sincerely acknowledges the financial support rendered by CSIR Sponsored Project [No. 25(0283)/18/EMR-II].