@article{Li2025, 
author = {Xiaomin Li and Yixuan Li},
title = {On Algebraic Differential Equations Concerning the Euler Gamma Function Γ and a Class of L-Functions},
year = {2025},
journal = {Periodical of Ocean University of China},
volume = {55},
number = {S1},
pages = {106-109},
keywords = {Euler gamma function Γ, a class S of L-functions, differential independence, algebraic differential equation},
url = {https://www.sciopen.com/article/10.16441/j.cnki.hdxb.20220036},
doi = {10.16441/j.cnki.hdxb.20220036},
abstract = {This paper studies the algebraic independence of Euler gamma function Γ and any one of a class              S      ~       of L-functions satisfying the axioms (Ⅰ)—(Ⅴ), and proves that the Euler gamma function Γ and any one of a class              S      ~       of L-functions do not satisfy any given non-trivial algebraic differential equation. The main result of this paper improves and extends the corresponding results by Li and Ye in 2016 and by Chen and Wang in 2021 respectively.}
}