Does MATLAB have inverse tangent integral TI2(z)?

In Mathematica, one calls the function using :

(PolyLog[2, I z] - PolyLog[2, -I z])/(2 I)

How dl I implement this in matlab, is there a built in function for the tangent integral?

Answer 1

[Star Strider]

The polylog function exists in the Symbolic Math Toolbox. It supports symbolic and numeric (double) arguments.

Answer 2

[Torsten]

format long
x = 0.5;
Ti2 = 1i*( -dilog(1-1i*x) + 0.25*dilog(1+x.^2) )

Ti2 = 
   0.487222358294522

Ti2_compare = integral(@(x)atan(x)./x,0,x)

Ti2_compare = 
   0.487222358294522