A previous post of mine looked at the angles that graphs make when they cross. For example, sin() and cos(x) always cross with the same angle. The same holds for sin() and cos(kx) since the k simply rescales the x-axis.
The post ended with wondering about functions analogous to sine and cosine, such as Bessel functions. This post will look at that question in more detail. Specifically we'll look at the functions Jν and Yν.