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

Complex Variables 2022-06-23 v2

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).

Keywords

Cite

@article{arxiv.2206.08741,
  title  = {Growth of Solutions of Linear Difference Equations with Meromorphic Coefficients in Terms of Iterated p-phi Order},
  author = {Anirban Bandyopadhyay and Chinmay Ghosh and Sanjib Kumar Datta},
  journal= {arXiv preprint arXiv:2206.08741},
  year   = {2022}
}