All possible orders less than 1 of transcendental entire solutions of linear difference equations with polynomial coefficients

Katsuya Ishizaki, Zhi-Tao Wen

In this paper, we study all possible orders which are less than 1 of transcendental entire solutions of linear difference equations \begin{equation} P_m(z)Δ^mf(z)+\cdots+P_1(z)Δf(z…