Normal Criteria of Function Families Concerning Shared Values

Wenjun Yuan, Bing Zhu and Jianming Lin

Journal of Applied Mathematics, 2011, vol. 2011, 1-9

Abstract:

We study the normality of families of meromorphic functions concerning shared values. We consider whether a family of meromorphic functions ℱ is normal in ð · , if, for every pair of functions ð ‘“ and ð ‘” in ℱ , ð ‘“ î…ž − ð ‘Ž ð ‘“ − ð ‘› and ð ‘” î…ž − ð ‘Ž ð ‘” − ð ‘› share the value ð ‘ , where ð ‘Ž and ð ‘ are two finite complex numbers such that ð ‘Ž ≠0 , ð ‘› is a positive integer. Some examples show that the conditions in our results are best possible.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:790942

DOI: 10.1155/2011/790942

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