Logarithmic difference lemma in several complex variables and partial difference equations
Tingbin Cao, Ling Xu
TL;DR
This paper improves the logarithmic difference lemma for meromorphic functions in several complex variables and explores solutions to partial difference equations using Nevanlinna theory.
Contribution
It introduces enhancements to the logarithmic difference lemma and applies Nevanlinna theory to analyze meromorphic solutions of partial difference equations.
Findings
Improved logarithmic difference lemma for several complex variables
Characterization of meromorphic solutions to partial difference equations
Application of Nevanlinna theory in complex analysis
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.
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