A normal criterion about two families of meromorphic functions concerning shared values

作者：Liu, Xiao Jun^*; Li, San Hua; Pang, Xue Cheng

来源：Acta Mathematica Sinica-English Series, 2013, 29(1): 151-158.

DOI：10.1007/s10114-012-0600-7

• Normal family
• shared values
• meromorphic functions

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 aS, a",, a (1), a (2), a (3), a (4) be four distinct finite complex numbers. If G is normal, and for every f epsilon F, there exists g epsilon G such that f(z) and g(z) share the values a (1), a (2), a (3), a (4), then F is normal on D.

• 出版日期2013-1
• 单位上海理工大学; 华东师范大学