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1·The analytical expressions are derived for the integrals containing exponential and exponential integral which appear frequently in electromagnetic field problems.

本文对电磁场问题的理论计算中常遇到的含有指数函数和指数积分函数的积分，得出了解析表达式。

2·A general exponential type integral operator, called mixed exponential type integral operator, is introduced, and the properties of this type of integral operator are studied.

引入了一类广义指数型积分算子，称其为混合指数型积分算子。

3·By recursive method and Martingale method, we derive the integral equation for the survival probability and obtain the exponential inequality for the ruin probability.

本章主要通过递推方法和鞅方法得出生存概率所满足的积分方程以及破产概率上界。

4·In this paper, a class of mixed exponential type integral operators are considered and the equivalent theorems of the characterization of approximation rate are given.

主要讨论了一类混合指数型算子的一致逼近问题，并给出了逼近阶的估计和特征刻划。