| 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: |
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| 中文摘要: |
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| 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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