徐利治.关于一类复值大数的积分(英)[J].数学研究及应用,1995,15(2):159~166
关于一类复值大数的积分(英)
Concerning a Kind of integrals of Complex-Valned Functions of Large Nnmbers
投稿时间:1993-09-13  
DOI:10.3770/j.issn:1000-341X.1995.02.001
中文关键词:  
英文关键词:condition (0) (UB)-property  Bonnet′s theorem .
基金项目:
作者单位
徐利治 大连理工大学 
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中文摘要:
      
英文摘要:
      Here presented are two limit theorems for a kind of integrals involvingcomplex-valued functions of large numbers. The form of integrals may be regardedas a natural generalization of those integrals occured in the probability limit theoremsof Chung and Erds. Our main result is Theorem 2 whose Proof rests upon some knownresults of [1] and makes an extentive use of Bonnet's second mean value theorem andrelated analytic techniques.
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