| Author |
Comment/Response |
igor igel
|
 06/20/12 06:17am
Hi,
what does it mean when one gets the Input as an Output when trying to solve some symbolic problem?
In practice we have following function:
Product[(1/\[Sqrt](2 \[Pi] ( i/n b0^2 + (n - i)/n b1^2)) E^(-(1/
2) (i/n m0 + (n - i)/n m1 - x)^2/(
i/n b0^2 + (n - i)/n b1^2)))^(1/n), {i, 1, n}]
After evaluating and then FullSimplify we get:
(2 \[Pi])^(-(1/
2 )) (((b0 - b1) (b0 + b1) (m0 -
m1) (-b1^2 (m0 + m1 (-1 + n) + 3 m0 n - 4 n x) +
b0^2 (m0 - m1 + m0 n + 3 m1 n - 4 n x)) +
2 n (b1^2 (m0 - x) +
b0^2 (-m1 + x))^2 (HarmonicNumber[(b0^2 n)/(b0^2 - b1^2)] -
HarmonicNumber[(b1^2 n)/(b0^2 - b1^2)]))/(
4 (b0 - b1)^3 (b0 + b1)^3))/
Sqrt[(((b0 - b1) (b0 + b1))/n)^
n Pochhammer[1 + (b1^2 n)/(b0^2 - b1^2), n]]
but unfortunatly Lim[%,n->Infinity] is returning the argument.
Assumptions are:
$Assumptions =
b1 > 0 && b1 > 0 && m0 \[Element] Reals && m1 \[Element] Reals &&
x \[Element] Reals && n \[Element] Integers && n > 0
I would appreciate any ideas very much.
igor igel
URL: , |
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