论文标题
Ramanujan对指数函数和概括的近似
Ramanujan's approximation to the exponential function and generalizations
论文作者
论文摘要
Ramanujan在Perron的鞍点方法的帮助下重新检查了Ramanujan对指数函数的近似。这允许进行广泛的概括，其中包括Buckholtz的结果，并且所有渐近扩展系数都可以以封闭形式给出。 Ramanujan对指数积分的近似值也类似地处理。
Ramanujan's approximation to the exponential function is reexamined with the help of Perron's saddle-point method. This allows for a wide generalization that includes the results of Buckholtz, and where all the asymptotic expansion coefficients may be given in closed form. Ramanujan's approximation to the exponential integral is treated similarly.
