A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes

TL;DR

This paper extends a uniqueness theorem for meromorphic mappings, allowing the hyperplanes to depend on the mappings and accommodating degenerate cases, thereby broadening the theorem's applicability.

Contribution

It introduces a generalized uniqueness theorem for meromorphic mappings involving two families of hyperplanes that depend on the mappings and includes degenerate cases.

Findings

Extended the uniqueness theorem to mappings with hyperplanes depending on the mappings

Included degenerate meromorphic mappings in the theorem

Broadened the conditions under which uniqueness holds

Abstract

In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degenerate.