Hi every one, I failed to do the following expression and make it give accurate results if any one can help me I will be glade. I attached my expression in a pic "want this" and my trial as "my trial". the correct answer must equal 0.119 when a=1, b=10, m=3, n=6. thanks a lot in advance.
a = 1
b = 10
m = 3
n = 6
a^1 b^n (Sum[
Sum[Sum[Sum[(-1)^(k + v - n + m + 1)
If[k == 0, 1,
SeriesCoefficient[Series[(-Log[1 - x])^k, {x, 0, 30}],
p + k]] If[n - k - 2 == 0, 1,
SeriesCoefficient[
Series[(-Log[1 - x])^(n - k - 2), {x, 0, 30}],
q + (n - k - 2)]]
Binomial[n - m - 1, k] Binomial[b - 1,
v] (-PolyGamma[0, -1 + 1/a - k + n + q] +
PolyGamma[0, 2/a + n + p + q + v])/(a (1 + k + p + v) +
1), {q, 0, 30 - (n - k - 2)}], {p, 0, 30 - k}], {v, 0,
b - 1}], {k, 0, n - m - 1}])/((m - 1)! (n - m - 1)!)
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