Exponential Polynomials as Solutions of Differential-Difference Equations of Certain Types

We consider the exponential polynomials solutions of non-linear differential-difference equation , where q(z), Q(z), P(z) are polynomials and n, k are positive integers and the linear differential-difference equation . Our results show that any exponential polynomials' solutions of the above two differential-difference equations should have special forms. This paper is a continuation of Wen et al. (Acta Math Sin 28(7):1295-1306, 2012).