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Author Comment/Response
Peter Pein
10/05/12 1:32pm

Hi Stefan,

you might find [1] interesting, which can be found in the documentation center as "tutorial/NumericalEquationSolving".

Following the advice of that text:

In[1]:= int[x_] = Integrate[Sqrt[t]/(1 + Exp[t - x]), {t, 0, Infinity}];
x1 = x /. FindRoot[int[x] == 1, {x, 0.5}] // Chop

Out[2]= 0.513628

or you could try:

In[3]:= root = Log[-InverseFunction[PolyLog, 2, 2][3/2, -1/Gamma[3/2]]];
N[root, 30] // Chop

Out[4]= 0.513628061824465072839630091983


hth,
Peter


[1]: http://reference.wolfram.com/mathematica/tutorial/NumericalEquationSolving.html


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Subject (listing for 'Troubles with Inverse PolyLog')
Author Date Posted
Troubles with Inverse PolyLog Stefan 10/05/12 04:01am
Re: Troubles with Inverse PolyLog Peter Pein 10/05/12 1:32pm
Re: Troubles with Inverse PolyLog Bill Simpson 10/05/12 1:47pm
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