德拜函数
德拜函数(Debye function)是彼得·德拜于1912年估算声子对固体的比热的德拜模型时创立的函数,定义如下
- 展开式
。
其中是伯努利数。
其中是m阶多重对数
- 渐近式
For :
- 。
For : : [2]
参考文献
- A. E. Dubinov, A. A. Dubinova ,Exact integral-free expressions for the integral Debye functions,Technical Physics Letters,December 2008, Volume 34, Issue 12, pp 999-1001
- Gradshteyn, I. S., & Ryzhik, I. M. (1980). Table of integrals. Series, and Products (Academic, New York, 1980), (3.411).
- Milton abramowitz Irene Stegun, Handbook of Mathematical Functions,National Bureau of Standards, p998 1972
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