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
On the Goldberg-Ostrovskii Problem for Linear Differential Equations with Exponential Polynomial Coefficients
Xing-Yu Li
The Goldberg-Ostrovskii problem asks whether finite-order solutions of a linear differential equation inherit the property of completely regular growth (c.r.g.) from its coefficien…