# How to solve the functional equation : $T(n)=(\log n)T(\log n)+n$

I want to solve the following functional equation using any ways:

$$T(n)=(\log n)T(\log n)+n$$

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Perhaps you should replace $T(\log n)$ with $T(\lceil \log n \rceil)$, as otherwise you're going to need a lot of initial values for $T$. –  Alex Becker Feb 25 '13 at 21:47