Comment on Cartesian expressions for surface and regular solid spherical harmonics using binomial coefficients and its use in the evaluation of multicenter integrals
Abstract
Recently published formulas for the surface and regular solid spherical harmonics and for the expansion of the product of two normalized associated Legendre functions with different centers in ellipsoidal coordinates (Telhat Ozdogan, Metin Orbay, Czech.J.Phys., 52(2002)1297) are critically analyzed. It is demonstrated that the presented in this work formulas are not original and they are available in the literature or can easily be obtained from the published in the literature formulas by changing the summation indices.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.