Product form of an equation

1. Oct 12, 2005

ktoz

I came up with this compound sum formula

$$\frac{(m + n)!(a(n + 1) + cm)}{m!(n + 1)!}$$

and am attempting to represent it in product notation. Is the form below correct?

$$\frac{(m + n)!(a(n + 1) + cm)}{m!(n + 1)!} = (a(n + 1) + cm) \prod_{j=1}^n \frac{m + j}{j + 1}$$

Thanks

2. Oct 13, 2005

AKG

yes it is correct

3. Oct 13, 2005

Thanks AKG