Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899801 | Journal of Mathematical Analysis and Applications | 2018 | 11 Pages |
Abstract
The paper concerns the problem of algebraic differential independence between the gamma function and the function in a certain class F, which contains Dirichlet L-functions, L-functions in the extended Selberg class and some periodic functions. It is proved that the gamma function and the function in F cannot satisfy a class of algebraic differential equations with meromorphic coefficients Ï having Nevanlinna characteristic satisfying T(r,Ï)=o(r) as rââ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Feng Lü,