Multiple values and finiteness problem of meromorphic mappings sharing different families of moving hyperplanes

TL;DR

This paper proves new uniqueness theorems for meromorphic mappings into projective space sharing moving hyperplanes, without counting multiplicities beyond a certain threshold, advancing understanding of value distribution in complex analysis.

Contribution

It introduces novel uniqueness results for meromorphic mappings sharing families of moving hyperplanes without multiplicity counting, extending previous work in the field.

Findings

Established conditions for uniqueness of meromorphic mappings

Extended value distribution theory to include moving hyperplanes

Provided new criteria that do not require counting multiplicities

Abstract

In this article, we show some uniqueness theorems for meromorphic mappings of $\C^n$ into the complex projective space $\pnc$ sharing different families of moving hyperplanes regardless of multiplicites, where all intersecting points between these mappings and moving hyperplanes with multiplicities more than a certain number do not need to be counted.