From: Jean-Philippe Grivet Subject: Re: Integral of THREE Spherical Harmonics/Legendre Functions Date: Fri, 26 Mar 1999 10:03:05 +0100 Newsgroups: sci.math.num-analysis,sci.math i-carron@news.tamu.edu wrote: > > Hello, > > I am looking for the integral of three sperical harmonics. Does anybody > know a reference for this. Hobson gives the integral of a product of > three legendre polynomials... a comparable result would be of interest > for an integral of three legendre functions. Hi, The integral of a product of three spherical harmonics Y_j_1*Y_j_2*Y_j_3 is given in most quantum mechanics books; the one I have here (BH Bransden and CJ Joachain, Physics of atoms and molecules, Longman, Appendix 4) shows that it is proportional to the product of two Clebsch-Gordan coefficients, *. HTH, JP Grivet -- ******************************************************** Jean-Philippe GRIVET, Centre de Biophysique Moleculaire rue Charles-Sadron, 45071 Orleans cedex 02, France Telephone: 02 38 25 76 32 Telecopie: 02 38 63 15 17 e-mail: grivet@cnrs-orleans.fr ********************************************************