The overlap integral of three associated Legendre polynomials
type: Item
instance of: scholarly article
title: The overlap integral of three associated Legendre polynomials
zbMATH Open document ID: 0996.33007
DOI: 10.1016/S0893-9659(02)80004-0
author: Shi-Hai Dong
author: R. Lemus
published in: Applied Mathematics Letters
publication date: 2002-08-15T00:00:00Z
review text: The author derives a formula for the so-called overlap integral of three associated Legendre functions (mistakenly called ``polynomials'') in form of a double sum. The result is generalized to the case of \(n\) Legendre functions \((n\geq 3\), integer). For the proof well-known formulas for the integral with one and two Legendre functions and a formula for the product of two spherical harmonics are used.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C55
zbMATH DE Number: 1781916
zbMATH Keywords: Legendre functions
zbMATH Keywords: spherical harmonics
zbMATH Keywords: overlap integrals
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
cites work: A generalized formula for the integral of three associated Legendre polynomials
cites work: Q5512106
cites work: A single-sum expression for the overlap integral of two associated Legendre polynomials
cites work: Q4040545
cites work: Q3243822
cites work: Q4275389
full work available at URL: s0893-9659(02)80004-0
OpenAlex ID: W2075156351
description: scientific article; zbMATH DE number 1781916