A normal criterion about two families of meromorphic functions concerning shared values |
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| Authors: | Xiao Jun Liu San Hua Li Xue Cheng Pang |
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| Institution: | 1. Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, 200093, P. R. China
2. Department of Mathematics, East China Normal University, Shanghai, 200241, P. R. China
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| Abstract: | 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 ? ?, a 1, a 2, a 3, a 4 be four distinct finite complex numbers. If G is normal, and for every f ?? F, there exists g ?? 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. |
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| Keywords: | Normal family shared values meromorphic functions |
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