Sinhc函数

数学上的Sinhc函数定义如下[1][2][3]

,它是下列微分方程的一个解:
Sinhc 2D plot
Sinhc'(z) 2D plot
Sinhc integral 2D plot
複域虚部
複域实部
绝对值
一阶导数
导数实部
导数虚部
绝对值

表示为其他特殊函数

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级数展开

 

图集

 
Sinhc abs complex 3D
 
Sinhc Im complex 3D plot
 
Sinhc Re complex 3D plot
 
Sinhc'(z) Im complex 3D plot
 
Sinhc'(z) Re complex 3D plot
 
Sinhc'(z) abs complex 3D plot
 
Sinhc abs plot
 
Sinhc Im plot
 
Sinhc Re plot
 
Sinhc'(z) Im plot
 
Sinhc'(z) abs plot
 
Sinhc'(z) Re plot

参见

参考文献

  1. ^ JHM ten Thije Boonkkamp, J van Dijk, L Liu,Extension of the complete flux scheme to systems of conservation laws,J Sci Comput (2012) 53:552–568,DOI 10.1007/s10915-012-9588-5
  2. ^ Weisstein, Eric W. "Sinhc Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SinhcFunction.html页面存档备份,存于互联网档案馆
  3. ^ P. N. den Outer, Th. M. Nieuwenhuizen, and Ad Lagendijk,Location of objects in multiple-scattering media,JOSA A, Vol. 10, Issue 6, pp. 1209-1218 (1993)