Their zeros can be used to calculate the Rayleigh function and they are related to the motion of heat in a cylinder and the oscillations of a chain.
The Dixon-Ferrar formula can be used to relate their variations. When they are singular at the origin they are of the second kind and named after Neumann (*) or Weber; others are named for Hankel. Their zeros can be used to calculate the Rayleigh function and they are related to the motion of heat in a cylinder and the oscillations of a chain. For 10 points, name these cylindrical harmonic functions that solve their namesake German astronomer's second-order ordinary differential equation.
The Dixon-Ferrar formula can be used to relate their variations.
{Bessel} functions (accept {cylindrical harmonic functions} before mentioned)