Properties of q-shift difference-differential polynomials of meromorphic functions

In this paper, we deal with the zeros of the q-shift difference-differential polynomials [P(f) Pi(d)(j=1) f(q(j)z + c(j))(sj)]((k)) - alpha(z) and (P(f) Pi(d)(j=1) [f(q(j)z + c(j))(sj)]((k)) - alpha(z), where P(f) is a nonzero polynomial of degree n, q(j), c(j) is an element of C \ {0} (j = 1,..., d) are constants, n, d, s(j) (j = 1,..., d) is an element of N+ and alpha(z) is a small function of f. The results of this paper are an extension of the previous theorems given by Chen and Chen and Qi. We also investigate the value sharing for q-shift difference polynomials of entire functions and obtain some results which extend the recent theorem given by Liu, Liu and Cao.