Answers are grounded in this paper and cite their sources.
We describe several harmonic functions; the solid harmonics (SH), the mixed SH, the reducing SH and the reducing mixed SH. We do the solid harmonic gradient (SHG) operator. Using the SHG, we derive a new Gauss-transform and a new Fourier-transform for real-type general Slater-type orbitals (STO). Several formulas can be derived for the calculus of harmonic functions. They will be useful especially for evaluating the angular part of molecular integrals over STOs and over Gaussian-type orbitals with higher-angular-momenta.
No takes yet. Share an insight, caveat, or question.
Kazuhiro Ishida (2022) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: