Hello,

I was wondering if anyone could help me show the following:

,

where .

It's an important part of a larger problem I'm working on and I'm a little stuck.

Thanks in advance.

Printable View

- March 23rd 2011, 09:40 AMhairymclairySum and products of series
Hello,

I was wondering if anyone could help me show the following:

,

where .

It's an important part of a larger problem I'm working on and I'm a little stuck.

Thanks in advance. - March 23rd 2011, 10:56 AMAlso sprach Zarathustra
- March 23rd 2011, 12:25 PMhairymclairy
I know it's provable by induction, however I need to derive the right hand side from the left, not just prove it if you see what I mean. Maybe the problem should be rephrased to "find a closed expression (i.e. an expression not involving the summation and product symbols) for the left hand side of that equation".

- March 26th 2011, 09:42 AMhairymclairy
The question asked me to derive various formulas, but when I spoke to my supervisor he said that it's apparently fine to just find a formula and then prove by induction, so thanks!