Fourier Series Expansion for the General Power of the Distance between Two Points
- 1 March 1965
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (3) , 492-494
- https://doi.org/10.1063/1.1704301
Abstract
The general power rn = (r12 − 2r1 r2 cos ω + r22)n/2 of the distance between two points is expressed as a Fourier series Σ Rn, l(r1, r2) cos lω. Following Sack's method, the radial functions Rn, l are obtained as power series in r</r>. Symmetrical expressions in r1 and r2 and recurrence relations are found for Rn, l.Keywords
This publication has 2 references indexed in Scilit:
- An Integral Equation for the Associated Legendre Function of the First KindJournal of Mathematical Physics, 1964
- Generalization of Laplace's Expansion to Arbitrary Powers and Functions of the Distance between Two PointsJournal of Mathematical Physics, 1964