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McLaurin Expansion of finite sum!

  1. Oct 23, 2011 #1
    Would you please find the McLaurin expansion of the following series to help me:
    M
    Ʃ Binomial(m + q - 1,q) [(a x)^q /((a x + b)^(m + q)]
    q=0

    where M , m ℂ N^+; a, b > 0;
    MANY THANKS FOR YOUR HELP.
     
  2. jcsd
  3. Oct 23, 2011 #2

    mathman

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    By brute force: (ax+b)m+q can be expanded (binomial theorem) into a finite sum of powers of ax. Then rearrange double sum to keep like powers of ax together.
     
  4. Oct 27, 2011 #3
    MANY THANKS FOR YOUR HELP.
    HOWEVER, (ax+b)^(m+q) is the denominator of a fraction.
    Could you please solve this again for me.
    Best regards,
     
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