Bug in Product
- To: mathgroup@smc.vnet.net
- Subject: [mg11413] Bug in Product
- From: Bob Hanlon <BobHanlon@aol.com>
- Date: Thu, 12 Mar 1998 01:32:17 -0500
$Version
"Power Macintosh 3.0 (October 5, 1996)"
NOTE: the same problem exists in version 2.2 for the Power Macintosh
Clear[x, y, z, k, n];
Given that
Product[k*x + y, {k, 1, n}]
x^n*Pochhammer[(x + y)/x, n]
Then
Product[(k*x + y)^2 - z^2, {k, 1, n}]
x^2*Pochhammer[(x + y - z)/x, n]*Pochhammer[(x + y + z)/x, n]
should have an initial factor of x^(2n) vice x^2. For example,
x = 2.3; y = -3.5; z = 4.2; n = 5;
Product[(k*x + y)^2 - z^2, {k, 1, n}]
-1.11410478165888*^6
x^2*Pochhammer[(x + y - z)/x, n]*Pochhammer[(x + y + z)/x, n]
-1422.667302245254
x^(2*n)*Pochhammer[(x + y - z)/x, n]*Pochhammer[(x + y + z)/x, n]
-1.11410478165888*^6
Bob Hanlon