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

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), Belaïdi-Benkarouba (2019) and Belaïdi-Bellaama (2021).