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Partial Fraction

  1. Feb 4, 2012 #1

    Is there any general formula for the partial fraction of the following function:

    [tex]\frac{1}{(ax_1+1)(ax_2+1)\cdots (ax_L+1)}[/tex]

    I can work for L=3, but it get involved for larger L!!

    Thanks in advance
  2. jcsd
  3. Feb 5, 2012 #2
    Ok... from what ive understood, you want write




    where the c's are constants. My question is, what is the variable the c's must be independent of? a or x?
  4. Feb 5, 2012 #3
    a is a constant, and x's are the variables.
  5. Feb 5, 2012 #4


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    Problems involving partial fractions usually have one variable and many constants. From the appearance of your expression, I assume a is the variable and the x's are constants. In that case the c's will be determined by the x's.
  6. Feb 5, 2012 #5
    yes, right. a is the variable and x's are the constants. I got the general solution expression.

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