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…