Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 425-432.

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Normality Concerning Shared Functions

Yang Duanyang, Ye Yasheng   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093
  • Received:2015-10-16 Revised:2016-04-13 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the NSFC (11371139)

Abstract:

Let k be a positive integer, a(z)(0,∞) be meromorphic functions on a domain D, F be a family of meromorphic functions on D, all of whose zeros have multiplicity at least k. If, for each fF, f(z)=0⇔f(k)(z)=a(z)⇒0<|f(k+1)(z)-a'(z)|<|a(z)|, then F is normal on D.

Key words: Meromorphic function, Shared values, Normal family

CLC Number: 

  • O174.52
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