关于一类复值大数的积分（英）

Concerning a Kind of integrals of Complex-Valned Functions of Large Nnmbers

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.