Some asymptotic estimation involving remainder of several combinaatorial numbers,such as Euler number, Bernoulli number and order Bell number are given with the characteristics of generating function as meromorphic function.%利用特殊函数的发生函数为亚纯函数的特点，给出Euler数、Bernoulli数、有序Bell数等几个组合数的带有余项的渐进估计．
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