Some results on q-difference equations

In this paper, we consider the q-difference analogue of the Clunie theorem. We obtain there is no zero-order entire solution of f(n)(z) + (del(q)f(z))(n) = 1 when n >= 2; there is no zero-order transcendental entire solution of f(n)(z) + P(z)(del(q)f(z))(m) = Q(z) when n > m >= 0; and the equation f(n) + P(z)del(q)f(z) = h(z) has at most one zero-order transcendental entire solution f if f is not the solution of del(q)f(z) = 0, when n >= 4.