Concerning a Kind of integrals of Complex-Valned Functions of Large Nnmbers |
Received:September 13, 1993 |
Key Words:
condition (0) (UB)-property Bonnet′s theorem .
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Fund Project:Supported by National Natural Science Foundation of China. |
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Abstract: |
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. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1995.02.001 |
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