Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (1): 121-132.doi: 10.1016/S0252-9602(14)60145-4

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THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS

CAI FuJie GAO Zong Sheng   

  1. LMIB &|School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • Received:2014-01-04 Revised:2014-04-15 Online:2015-01-20 Published:2015-01-20
  • Supported by:

    This work is supported by NSFC (11171013, 11371225).

Abstract:

In this paper, we investigate the normality relationship between algebroid mul-tifunctions and their coefficient functions. We prove that the normality of a k-valued entire algebroid multifunctions family is equivalent to their coefficient functions in some conditions. Furthermore, we obtain some new normality criteria for algebroid multifunctions families based on these results. We also provide some examples to expound that some restricted
conditions of our main results are necessary.

Key words: algebroid multifunctions, nomal families,  coefficient functions, Hausdorff dis- tance

CLC Number: 

  • 30D45
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