Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

The problem occurs to me when I tried to solve \begin{align}E(x)=1+2(1-x)^2\int_{x}^{1}(1-t)E\left(\frac{x}{t}\right)dt\end{align} with $E(1)=1$ and $\lim_{x\to 0^+}E(x) \to +\infty$.

I'd like to find $E(1/2)$.

But I have no idea how to solve it with Mathematica or Matlab.

Thank you for your attention!

share|cite|improve this question
up vote 0 down vote accepted

For Mathematica, you could try to apply the fixed-point and interpolation technique in this article:

share|cite|improve this answer
Thank you! I have tried the iteration, but when f(x) tends to zero, it's hard to interpolate the function, is there any useful idea to solve this problem? – Golbez Sep 19 '12 at 10:44

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.