a2 Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China (email@example.com)
Let f be a transcendental meromorphic function on the complex plane , let a be a non-zero finite complex number and let n and k be two positive integers. In this paper, we prove that if n≥k+1, then assumes each value b infinitely often. Also, the related normal criterion for families of meromorphic functions is given. Our results generalize the related results of Fang and Zalcman.
(Received May 27 2008)
(Accepted November 05 2008)