数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 121-132.doi: 10.1016/S0252-9602(14)60145-4

• 论文 • 上一篇    下一篇

THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS

柴富杰|高宗升   

  1. LMIB &|School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • 收稿日期:2014-01-04 修回日期:2014-04-15 出版日期:2015-01-20 发布日期:2015-01-20
  • 基金资助:

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

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).

摘要:

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.

关键词: algebroid multifunctions, nomal families,  coefficient functions, Hausdorff dis- tance

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

中图分类号: 

  • 30D45