2 papers
math.CV2025
The growth of transcendental entire solutions of linear difference equations with polynomial coefficients
Xiong-Feng Liu, Zhi-Tao Wen, Can-Xin Zhu
In this paper, we study the growth of transcendental entire solutions of linear difference equations \begin{equation} P_m(z)Δ^mf(z)+\cdots+P_1(z)Δf(z)+P_0(z)f(z)=0,\tag{+} \end{equ…
math.CV2024
Representation of finite order solutions to linear differential equations with exponential sum coefficients
Xing-Yu Li, Jun Wang, Zhi-Tao Wen
We show a necessary and sufficient condition on the existence of finite order entire solutions of linear differential equations $$ f^{(n)}+a_{n-1}f^{(n-1)}+\cdots+a_1f'+a_0f=0,\eqn…