In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved: Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct...In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved: Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct finite complex numbers. If G is normal, and for every f 9~, there exists g C G such that f(z) and g(z) share the values a1, a2, a3, a4, then F is normal on D.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11071074)supported by Outstanding Youth Foundation of Shanghai(Grant No.slg10015)
文摘In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved: Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct finite complex numbers. If G is normal, and for every f 9~, there exists g C G such that f(z) and g(z) share the values a1, a2, a3, a4, then F is normal on D.