摘要：In this paper, we investigate the value distribution of difference polynomial and obtain the following result, which improves a recent result of K. Liu and L.Z. Yang: Let f be a transcendental meromorphic function of finite order σ, c be a nonzero constant, and α ( z ) ≢ 0 be a small function of f, and let P ( z ) = a n z n + a n − 1 z n − 1 + ⋯ + a 1 z + a 0 be a polynomial with a multiple zero. If λ ( 1 / f ) < σ , then P ( f ) f ( z + c ) − α ( z ) has infinitely many zeros. We also obtain a result concerning the value distribution of q-difference polynomial. MSC:30D35, 39A05.
