摘要
通常Euler变换能加速振荡积分的级数的收敛,但并不总能应用,本文给出了可以应用的几个充分条件.
Euler's transform may often accelerate convergence of series of oscillatory integral, but it can not be alwaysused. This paper presents some sufficient coaditions under whichit can be used.
关键词
Euler变换
振荡积分
级数
收敛
Euler's polygonal arc method
Series(mathematics)
Rapid
Convergence
Defininite conditions