Sinhc Function

Author

Eric W. Weisstein
September 28, 2007

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/SinhcFunction.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/SinhcFunction.html.

©2007 Wolfram Research, Inc. except for portions noted otherwise

Plots

<<Utilities`Plot`
<<Utilities`Typesetting`

Plot[Sinhc[x],{x,-5,5},PlotStyle->Red,Ticks->None,
AxesLabel->TraditionalForm/@{x,Sinhc[x]}
]

ComplexPlot3D[Sinhc[z],{z,-10,10},PlotPoints->150]//Timing

ComplexContourPlot[Sinhc[z],{z,-10,10}]//Timing

Special Values

Limit[Sinhc[x],x->0]

Derivative

D[Sinhc[x],x]

Integral

Integrate[Sinhc[x],x]

Fixed Points

Plot[{Sinhc[x],x},{x,-3,3},PlotStyle->{Red,Black},AxesLabel->{x,Sinhc[x]}]

FindRoot[Sinhc[x]==x,{x,2}]

Reduce[Sinhc[x]==x&&x>0,x]