Work

Meromorphic Functions that Partially Share Values with Their First Derivative

Year: 2026

Type: article

Abstract: We consider uniqueness results for meromorphic functions $$f :\mathbb {C}\rightarrow \widehat{\mathbb {C}}$$ f : C → C ^ such that for certain values $$a \in \mathbb {C}$$ a ∈ C the implication $$f(z)=a \Rightarrow f'(z)=a$$ f ( z ) = a ⇒ f ′ ( z ) = a holds, i.e. that f and $$f'$$ f ′ share values partially . In particular, we give a result for four partially shared values.

Source: Results in Mathematics

DOI: 10.1007/s00025-026-02624-5

Authors: Andreas Sauer, Andreas Schweizer

Institutions: Ruhr West University of Applied Sciences, Kongju National University

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W7135025652