The discussion focuses on the conservation of axisymmetry when expanding functions in spherical harmonics. It is established that including only the m=0 terms in the spherical harmonics expansion is sufficient to maintain axisymmetry, provided that the spherical coordinates are oriented with the z-axis as the symmetry axis. This approach ensures that the function remains invariant under rotations about the z-axis.
PREREQUISITESMathematicians, physicists, and engineers working with spherical harmonics in fields such as quantum mechanics, acoustics, and computer graphics.