Recent content by Post

Hi, Sorry for my ignorance, but if expanding into a power series don't we have two infinite sums multiplied together? I attempted it but wasn't able to get anywhere nicely (maybe it's beyond me) I was thinking something more along the lines of this...

Use the division rules of exponents. (x^a)/(x^b) = x^(a-b) if a = b then a - b = 0, and any number divided by itself is 1. Done

Hello, I'm trying to show that Integral[x*J0(a*x)*J0(a*x), from 0 to 1] = 1/2 * J1(a)^2 Here, (both) a's are the same and they are a root of J0(x). I.e., J0(a) = 0. I have found and can do the case where you have two different roots, a and b, and the integral evaluates to zero...