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Math Help - Binomial help decimals??

  1. #1
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    Binomial help decimals??

    in my book i have \left(\begin{array}{cc}s\\2\end{array}\right) where s = 0.4

    In my book the answer is -0.12 but i have no idea how they have got this, any help please?
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  2. #2
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    Quote Originally Posted by adam_leeds View Post
    in my book i have \left(\begin{array}{cc}s\\2\end{array}\right) where s = 0.4

    In my book the answer is -0.12 but i have no idea how they have got this, any help please?

    look here, but note that when i try it one of the integrals isnt converging...im using matlab.



    Binomial coefficient - Wikipedia, the free encyclopedia
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  3. #3
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    Maybe without resorting to the Gamma function and what not, they're talking about the "generalized" binomial coefficient which we see used in binomial series:

    {a \choose k} = \frac{a(a-1)(a-2)\cdots(a - k+1)}{k!} where a can be complex.

    Hence: {0.4 \choose 2} = \frac{(0.4)(0.4-1)}{2!}
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  4. #4
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    Quote Originally Posted by o_O View Post
    Maybe without resorting to the Gamma function and what not, they're talking about the "generalized" binomial coefficient which we see used in binomial series:

    {a \choose k} = \frac{a(a-1)(a-2)\cdots(a - k+1)}{k!} where a can be complex.

    Hence: {0.4 \choose 2} = \frac{(0.4)(0.4-1)}{2!}
    whups...glossed over that as it appears on the wiki page. apologies adam leeds, glad o_O chimed in...furthermore, the formula i cite above is to be used for large n and k...whups...apologies all around.
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