Growth of solutions to complex linear differential equations in which the coefficients are analytic functions except at a finite singular point

Dahmani, Abdelkader; Belaidi, Benharrat

doi:10.22075/ijnaa.2022.25063.2904

Growth of solutions to complex linear differential equations in which the coefficients are analytic functions except at a finite singular point

Document Type : Research Paper

Authors

Abdelkader Dahmani
Benharrat Belaidi

Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem, Algeria

10.22075/ijnaa.2022.25063.2904

Abstract

In this paper, we study the growth of solutions to complex higher order linear differential equations, where the coefficients are analytic in the closed complex plane except at a finite singular point. We obtain some results on the [p,q]-order and on the lower [p,q]-order which improve and extend those of Long and Zeng.

Keywords