Re: product of an arithmetic sequence
- From: David Kastrup <dak@xxxxxxx>
- Date: Tue, 14 Jun 2005 16:41:37 +0200
"Sebastian Martin Ruiz" <smaranda@xxxxxxxxxx> writes:
> Hello all:
>
> There exists a formula simplified for the PRODUCT of an ARITHMETIC
> sequence?
>
> (With polynomial time complexity.)
Uh, where is the problem?
\prod_{k=0}^{n-1} a + k * b = b^n * \prod_{k=0}^{n-1} (a/b) + k
= b^n * \Gamma((a/b) + n) / \Gamma(a/b)
--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
.
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