Recent content by deathquasar

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    From an integral to a gamma to a series

    ok done :D thank you very much ^^
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    From an integral to a gamma to a series

    ok, I expanded just the exp, and now I've this, (with some transformations) and quite looks like what I want. \sum_1^\infty \frac{1}{n!}\int_0^\infty e^{-y(n+1)}y^n but now?
  3. D

    From an integral to a gamma to a series

    but I've to pass through the euler's gamma representation, and expanding this function is quite horrible using taylor. I'll try anyway with your idea!,Ty!
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    From an integral to a gamma to a series

    Homework Statement Using Euler's Gamma and a proper substitution prove the relation above: \int_0^1 1/x^x=\sum_{n=1}^\infty 1/n^n Homework Equations How to resolve this XD? The Attempt at a Solution