Growth of Solutions of Linear Difference Equations with Meromorphic Coefficients in Terms of Iterated p-phi Order

TL;DR

This paper investigates the growth behavior of solutions to complex linear difference equations with meromorphic coefficients of finite iterated p-phi order, extending previous results in the field.

Contribution

It introduces new growth estimations for solutions and generalizes earlier findings on difference equations with meromorphic coefficients.

Findings

Derived growth bounds for solutions of difference equations

Extended previous theoretical results in the field

Provided new insights into the behavior of solutions with meromorphic coefficients

Abstract

In this article we have studied complex linear homogeneous difference equations where the coefficients are meromorphic functions, having finite iterated p-phi order. We have made some estimations on the growth of its nontrivial solutions. Also we have extended some of the previous results of Zhou-Zheng (2017), Bela\"idi-Benkarouba (2019) and Bela\"idi-Bellaama (2021).