THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS  

作　　者：柴富杰 高宗升 

机构地区：[1]LMIB & School of Mathematics and Systems Science, Beihang University

出　　处：《Acta Mathematica Scientia》2015年第1期121-132,共12页数学物理学报（B辑英文版）

基　　金：supported by NSFC(11171013,11371225)

摘　　要：In this paper, we investigate the normality relationship between algebroid multifunctions 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.In this paper, we investigate the normality relationship between algebroid multifunctions 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.

关 键 词：algebroid multifunctions normal families coefficient functions Hausdorff distance 

分 类 号：O174[理学—数学]