Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Visualizations





Conformal map graphics (15 graphics)


Images of concentric circles around the origin

Images of concentric circles of radii between and around the origin under the (conformal) map . The curves cluster around the points .

Images of the Riemann sphere of concentric circles of radii between and around the origin under the (conformal) map .

Images in the ‐plane of concentric circles of radii between and around the origin under the (conformal) map .

Images of radial rays originating from the origin

Images of rays from the origin under the (conformal) map . The curves cluster around the points .

Images on the Riemann sphere of rays from the origin under the (conformal) map .

Images of a square grid

Images of a square grid of size under the (conformal) map . The two accumulation points of curves are the points .

Images of the tessellated Riemann sphere

Images of triangles on the Riemann sphere under the (conformal) map .

Plane to plane map

Curves parametrized by . Points (where ) move smoothly into points .