On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of (p,q)-order

TL;DR

This paper investigates the growth behavior of meromorphic solutions to linear difference equations, extending existing results by employing (p,q)-order and (p,q)-type to provide a more detailed growth analysis.

Contribution

It introduces the use of (p,q)-order and (p,q)-type to analyze the growth of solutions, extending and improving previous results in the field.

Findings

Extended growth estimates for solutions using (p,q)-order.

Improved bounds compared to earlier results.

Applicable to both homogeneous and non-homogeneous equations.

Abstract

In this paper we have studied the growth of meromorphic solutions of higher order homogeneous and non-homogeneous linear difference equations with entire and meromorphic coefficients. We have extended and improved some results of Zhou and Zheng (2017), Belaidi and Benkarouba (2019) by using (p,q)-order and (p,q)-type.