Acta mathematica scientia, Series B >
THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS
Received date: 2014-01-04
Revised date: 2014-04-15
Online published: 2015-01-20
Supported by
This work is supported by NSFC (11171013, 11371225).
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.
CAI FuJie GAO Zong Sheng . THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(1) : 121 -132 . DOI: 10.1016/S0252-9602(14)60145-4
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