Generalization of uniqueness theorem for meromorphic mappings sharing hyperplanes

TL;DR

This paper introduces a new method to generalize uniqueness theorems for meromorphic mappings sharing hyperplanes, improving previous results and simplifying proofs in complex analysis.

Contribution

It presents a novel estimation technique for the counting function, leading to a broader and simpler uniqueness theorem for meromorphic mappings into projective space.

Findings

Generalizes previous uniqueness theorems for meromorphic mappings

Introduces a new estimation method for the counting function

Simplifies the proof process

Abstract

In this article, by introducing a new method in estimating the counting function of the auxiliary function, we prove a new generalization of uniqueness theorems for meromorphic mappings into $\P^n(\C )$ which share few hyperplanes regardless of multiplicities. Our result improves the previous result in this topic. Moreover our proof is simpler than the previous proofs.