An asymptotic expansion is obtained, as $\lambda \rightarrow +\infty$, for the integral $$I(\lambda) = \int^{\pi/2}_0 J^2_\nu(\lambda \cos \theta)d\theta,$$ where $J ...
This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the ...