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Re-writting an Equation

  1. Jul 16, 2009 #1
    1. The problem statement, all variables and given/known data


    I have the following equation:

    [tex]f(x)=\sum_{r=m}^{M_B}\,\sum_{i=0}^{M_B-r}\,\sum_{j=0}^{r+i}\,\sum_{k=0}^{j(N_B-1)}(-1)^{i+j}{M_B\choose r}{M_B-r\choose i}{r+i\choose j}\left(\frac{x}{C}\right)^k\,e^{jx/C}[/tex]

    and I want to write it in the form of [tex]f(x)=1+R(x)[/tex]

    2. Relevant equations

    [tex]m[/tex] will be any number from 1 up to [tex]M_B[/tex], and [tex]f(x)=1-e^{x/C}[/tex] for [tex]M_B=N_B=1[/tex].

    3. The attempt at a solution

    I tried to extract the following parameters to have the 1 value:

    [tex]r=M_B, i=0, j=0, k=0[/tex]

    but after that I don't know what to do by the indices. It does not seem straightforward as one can see.

  2. jcsd
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