I wish to solve exactly this formula involving sums and products ⟨ n l ⟩...
I wish to solve exactly this formula involving sums and products
where b is a positive real number, N is a natural number, and all the sums and products are understood to run from 0 to , where M is yet another natural number (all the l, h, j, k indices are therefore bound to this interval, with the appropriate restrictions written under the sums and the products). Eventually I would also like to take the limit as M goes to infinity, but I'm sure how well I can do that.
Do you think there is a hope to massage this formula to make it a little less ugly? For the moment, I've been trying to solve it numerically...