• ← Gudermannian
• → Sech

InverseGudermannian

Inverse Gudermannian function (WMA, MathWorld)

InverseGudermannian[z]

returns the inverse Gudermannian function gd^-1(z).

• • InverseGudermannian[.5]

InverseGudermannian[-z] == -InversGudermannian[z]:

• • InverseGudermannian[-.5] ==  -InverseGudermannian[.5]

InverseGudermannian is 0 at multiples of 8 Pi:
= 0

• • Plot[InverseGudermannian[x], {x, -2 Pi, 2 Pi}]