克劳森函数
克劳森函数是丹麦数学家托马斯·克劳森最先研究的特殊函数,定义如下:
![](http://images.weserv.nl/?url=//upload.wikimedia.org/wikipedia/commons/thumb/8/86/Clausen_function.png/350px-Clausen_function.png)
克劳森函数的傅立叶级数为
基本性质
极大值点 :
极小值点 :
[1].
与伯努力多项式的关系
其中:
与多重对数函数的关系
参考文献
- ^ Lu and Perez, 1992,
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