Journal of Applied Mathematics (2011-01-01)

Normal Criteria of Function Families Concerning Shared Values

  • Wenjun Yuan,
  • Bing Zhu,
  • Jianming Lin

DOI
https://doi.org/10.1155/2011/790942
Journal volume & issue
Vol. 2011

Abstract

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We study the normality of families of meromorphic functions concerning shared values. We consider whether a family of meromorphic functions ℱ is normal in D, if, for every pair of functions f and g in ℱ, f′−af−n and g′−ag−n share the value b, where a and b are two finite complex numbers such that a≠0, n is a positive integer. Some examples show that the conditions in our results are best possible.