Partial Fraction

  1. Hello,

    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. 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. a is a constant, and x's are the variables.
  5. mathman

    mathman 6,751
    Science Advisor
    Gold Member

    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. yes, right. a is the variable and x's are the constants. I got the general solution expression.

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