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Math Help - Integration of [Incomplete Beta Functions]^[n-1]

  1. #1
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    Integration of [Incomplete Beta Functions]^[n-1]

    first:
    can you help me to integrate

    [z^(q-1)]*[(1-z)^(p-1)]*{[(z^-(1/c))^(1/a)]^s}*{(Beta[z,q,p])^(j-1)}*{(Beta[1-z,p,q])^(n-j)} dz

    where 0<z<1 and B[z,p,q] is the incomplete beta



    Second
    can we transform "Sum{[(p-1)! * (-1)^k * B[cq+ck-r/a , r/a +1] ] / k! * (p-1-k)!} from k=0 to k=infinity " to a hypergeomtric form ?


    Any hints, suitable resources or and help is greatly appreciated.

    Thank you in advance
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  2. #2
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    Re: Integration of [Incomplete Beta Functions]^[n-1]

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  3. #3
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    Re: Integration of [Incomplete Beta Functions]^[n-1]

    sorry but i try ... may i choose a wrong title to describe the problem ..... can you check it again
    Last edited by amani; November 25th 2012 at 09:16 AM.
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    Re: Integration of [Incomplete Beta Functions]^[n-1]

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  5. #5
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    Re: Integration of [Incomplete Beta Functions]^[n-1]

    the link was provided to direct users to the calculus forum ... the lobby is for introductions only.
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  6. #6
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    Re: Integration of [Incomplete Beta Functions]^[n-1]

    Oh!

    i'm sorry

    i'm Amani
    from Egypt, Cairo
    study mathematical statistics in Cairo University
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