No. Bessel functions are the solution to many differential equations posed in cylindrical coordinates. Legendre polynomials are what we are seeing here which

No. Bessel functions are the solution to many differential equations posed in cylindrical coordinates. Legendre polynomials are what we are seeing here which are solutions to many differential equations posed in spherical coordinates. Classical sine/cosine Fourier solutions are the solutions to many differential equations posed in cartesian coordinates. So these spherical solutions should also remind people of atomic quantum "orbital" shapes because those are solutions to Schrödinger's (differential) equations in spherical coordinates.