Abstract:

Applying the theory of Nevanlinna, investigate the value distribution of q-difference polynomials of meromorphic functions fn(z)(fm(z)-1)∏di=1 f(qiz)(k) and fn(z)(fm(z)-1)∏di=1qi f(z)(k),  where n,m,k,d are positive integers, and obtained some results which improved some existing results.

Key words: meromorphic function; zero; uniqueness; q-difference