English

Logarithmic difference lemma in several complex variables and partial difference equations

Complex Variables 2019-09-10 v2

Abstract

In this paper, we mainly propose improvements of the logarithmic difference lemma for meromorphic functions in several complex variables, and then investigate meromorphic solutions of partial difference equations from the viewpoint of Nevanlinna theory.

Keywords

Cite

@article{arxiv.1806.05423,
  title  = {Logarithmic difference lemma in several complex variables and partial difference equations},
  author = {Tingbin Cao and Ling Xu},
  journal= {arXiv preprint arXiv:1806.05423},
  year   = {2019}
}

Comments

27 pages. We give some modifications. This is the final version, and to appear in Annali di matematica pura ed applicata

R2 v1 2026-06-23T02:29:46.452Z