supported by National Natural Science Foundation of China (Grant No.10771076);Natural Science Foundation of Guangdong Province (Grant No. 07006700)
Let F be a family of functions meromorphic in a domain D, let P be a polynomial with either deg P≥3 or deg P = 2 and P having only one distinct zero, and let b be a finite nonzero complex number. If, each pair of fun...
supported by the National Natural Science Foundation of China (Grant No. 10771076);theNatural Science Foundation of Guangdong Province,China (Grant No. 07006700);by the German-IsraeliFoundation for Scientific Research and Development (Grant No.G-809-234.6/2003)
Let f be a transcendental meromorphic function,a a nonzero finite complex number,and n 2 a positive integer.Then f + a(f')n assumes every complex value infinitely often.This answers a question of Ye for n = 2.A relate...