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Math Help - computation of a double serie

  1. #1
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    computation of a double serie

    Hello, I have a problem to compute the following serie :

    \[S(t,\delta)=\sum_{\substack {k, l\geq 0 \\ k-l > 0 }} {(1-t)^{k+l}\cdot\frac{\sin\big((k-l)\delta\big)}{k-l}\cdot\frac{kl}{k+l}}=\ ?\]

    More precisly, my aim is to know if $t^2 S(t,\delta)\stackrel{t\rightarrow0}{\rightarrow}0$ .

    Thanks for this lecture.

    P.S : Sorry I don't know how to active latex mode.
    Last edited by Mister T; August 11th 2008 at 10:30 AM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Please do not double post.

    Thread closed.

    -Dan
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