5 papers
Difference independence of the Euler gamma function
Qiongyan Wang, Xiao Yao
In this paper, we established a sharp version of the difference analogue of the celebrated Hölder's theorem concerning the differential independence of the Euler gamma function …
On generalized Fermat Diophantine functional and partial differential equations in
Wei Chen, Qi Han, Qiong Wang
In this paper, we characterize meromorphic solutions to the generalized Fermat Diophantine functional equations in $\mathbf{…
On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function
Qiongyan Wang, Manli Liu, Nan Li
In this paper, we prove that is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in over the ring of p…
On the value distribution of the Riemann zeta-function and the Euler gamma-function
Qi Han, Jingbo Liu, Qiong Wang
We prove some uniqueness results for the Riemann zeta-function and the Euler gamma-function by virtue of shared values using the value distribution theory.
On meromorphic solutions of functional equations of Fermat type
Pei-chu Hu, Qiong Wang
Take complex numbers , such that and {\rm rank} ( {ccc} a_{0} & a_{1} & a_{2} b_{0} & b_{1} & b_{2} )=2. We show that if the following functional equa…