A study on algebraic differential equations of gamma function and Dirichlet series

DOI10.1016/j.jmaa.2018.02.021zbMath1388.30037OpenAlexW2791703196MaRDI QIDQ1746660

Feng Lü

Publication date: 25 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.021

zbMATH Keywords

gamma functionalgebraic differential equationsNevanlinna characterisitic

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (5)

Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series ⋮ On the differential and difference independence of \(\Gamma\) and \(\zeta\) ⋮ On the algebraic difference independence of the Euler gamma function \(\Gamma\) and Dirichlet series ⋮ On the algebraic differential independence of \(\Gamma\) and \(\zeta\) ⋮ On algebraic differential equations of gamma function and Riemann zeta function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Value distribution of \(L\)-functions
• Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\)
• Differential independence of \(\Gamma\) and \(\zeta\)
• On uniqueness in the extended Selberg class of Dirichlet series
• Algebraic differential equations concerning the Riemann zeta function and the Euler gamma function
• On algebraic differential properties of the Riemann ζ-function and the Euler Γ-function
• Difference independence of the Riemann zeta function

This page was built for publication: A study on algebraic differential equations of gamma function and Dirichlet series