Sinhc function: Difference between revisions

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==In terms of other special functions==
 
* <math>\operatorname{Sinhc}(z)={\frac {2\,i{{\rm KummerM}\left(1,\,2,\,2\,izz\right)}}{ {{\left(rm 2\,e}^{z+\pi }}}}</math>
\right) {{\rm KummerM}\left(1,\,2,\,i \left( 2\,z+\pi \right) \right)}}}</math>
 
*<math>\operatorname{Sinhc}(z)={\frac {2\,i{\it HeunB} \left( 2,0,0,0,\sqrt {2}\sqrt {izz} \right) }{{
{\rm e}^{z}}}} </math>
\left( 2\,z+\pi \right) {\it HeunB} \left( 2,0,0,0,\sqrt {2}\sqrt {1
/2\,i \left( 2\,z+\pi \right) } \right) }} </math>
 
* <math>\operatorname{Sinhc}(z)=1/2\,{\frac {{{\rm WhittakerM}\left(0,\,1/2,\,2\,izz\right)}}{z}} </math>
{{\rm WhittakerM}\left(0,\,1/2,\,i \left( 2\,z+\pi \right) \right)}z}}
</math>
 
==Series expansion==