2 papers
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…
math.CA2024
Completely regular growth of solutions to linear differential equations with exponential polynomial coefficients
Xing-Yu Li
Consider the linear differential equation , where the coefficients are exponential polynomials. We prove that every finite-order transcenden…