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    Finite series within finite series

    Homework Statement I need to find a closed form for what at first light would be a straightforward finite series. Calculating it explicitly to a particular degree is not difficult, but I just can't find the closed form for the general case. Homework Equations For N>m, the series is...
  2. A

    Infinite Sum Question

    1. I want to find a close expression for the following infinite sum \sum_{n=1}^{\infty}\left(\frac{1}{\sqrt{n^2+x_1 y}}-\frac{1}{\sqrt{n^2+x_2 y}}\right) Both x_i and y are greater than 0. The Attempt at a Solution I haven't got much really. I realize each sum independently is...
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