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Gudermannian
Usage
Gudermannian[z] gives the Gudermannian function gd (z).
Basic examples
Evaluate numerically: In[1]:=Gudermannian[4.2] Out[1]=1.54081 Plot over a subset of the reals: In[1]:=Plot[Gudermannian[x], {x, -10, 10}] Out[1]= Plot over a subset of the complexes: In[1]:=ComplexPlot3D[Gudermannian[z], {z, -2 - 2I π, 2 + 2I π}, PlotLegends->Automatic] Out[1]=
Attributes
Listable | NumericFunction | Protected | ReadProtected
Relationships with other entities
Christoph Gudermann
InverseGudermannian | ArcTan
Typical ranks of usage in programs
1895th most common (1 in 456000 symbols)
1899th most common (1 in 3700000 symbols)
3024th most common (1 in 100000 symbols)
History
introduced in Version 7 (November 2008) last modified in Version 12.1 (March 2020)
Timeline