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I understand that these kinds of questions may be a bit overdone but I can't for the life of me figure out what's wrong with this piece of code.

    Solve[df == (Sqrt[2*Pi]*s)^(-n) && 
    cf == 0 && af*s^3 + bf*s^2 + 
    cf*s + df == 
    1/(E^(1/2)*(Sqrt[2*Pi]*s)^n) && 
    ak*s^3 + bk*s^2 + ck*s + dk == 
    1/(E^(1/2)*(Sqrt[2*Pi]*s)^n) && 
    3*ak*s^2 + 2*bk*s + ck == 
    3*af*s^2 + 2*bf*s + cf && 
    ak*(2*s)^3 + bk*(2*s)^2 + 
    ck*(2*s) + dk == 0 && 
    3*ak*(2*s)^2 + 2*bk*(2*s) + ck == 
    0 && (2*Pi^(n/2)*((af*s^4)/4 + 
    (15*ak*s^4)/4 + (bf*s^3)/3 + 
    (7*bk*s^3)/3 + (cf*s^2)/2 + 
    (3*ck*s^2)/2 + df*s + dk*s))/
    Gamma[n/2] == 1/2, {af, bf, cf, df, 
    ak, bk, ck, dk}]

It outputs {} and i can't understand why.

share|improve this question
    
Any conditions on {s, n, af}? –  belisarius Jan 24 at 3:56
    
Is it possible there is no answer? For example: Solve[1 == x && 0 == x, x] gives output {}. –  bill s Jan 24 at 4:02
    
Sorry, af is to be solved for to. s is real and positive, n is a positive integer. I would be very surprised if it had no solutions since the equations come from a simple polynomial interpolation problem. –  Ourives Jan 24 at 4:04

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