Lobachevsky’s Function

Author

Eric W. Weisstein
March 19, 2013

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

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

©2013 Wolfram Research, Inc. except for portions noted otherwise

Plot

ClausenCl[2,x]

LobachevskyLambda[q_]:=ClausenCl[2,2q]/2

LobachevskyLambda[θ]//FullSimplify

Plot[LobachevskyLambda[q],{q,0,4π},Exclusions->None,PlotStyle->Red,AxesLabel->{θ,Λ[θ]}]