  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).
