Work

Picard Values of Entire Functions and Their Differences

Year: 2025

Type: article

Abstract: This paper studies value distribution of entire function f(z) and their forward differences $$\Delta ^{n}f(z)$$ . We mainly prove: let $$n\in {\mathbb {N}}$$ , f(z) be a transcendental entire function such that f(z) and $$\Delta ^{n}f(z)$$ have finitely many zeros without growth condition, then the exact forms of f(z) and $$\Delta ^{n}f(z)$$ are given.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-025-02838-x

Authors: Shuang-Ting Lan, Zong-Xuan Chen

Institutions: Guangdong Polytechnic Normal University, South China Normal University

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4409445774