On the overlap integral of associated Legendre polynomials

被引：12

作者：

Wong, BR ^{[1
]}

机构：

[1] Univ Malaya, Dept Math, Kuala Lumpur 50603, Malaysia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 03期

关键词：

D O I：

10.1088/0305-4470/31/3/019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple compact closed-form expression is derived from the definite integral integral(-1)(1) P-l1(m1)(x)P-l2(m2)(x) dx using a convenient analytical formula for the associated Legendre function P-l(m)(x). This result is easily generalized for integrands involving products of an arbitrary number of associated Legendre polynomials.

引用

页码：1101 / 1103

页数：3

共 4 条

[1]

[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury

[2] SOLID HARMONICS AND THEIR ADDITION THEOREMS [J].

CAOLA, MJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (02) :L23-L25

[3] SOME INTEGRALS INVOLVING LEGENDRE POLYNOMIALS AND ASSOCIATED LEGENDRE FUNCTIONS [J].

SALEM, LD ;

WIO, HS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (20) :4331-4338

[4] THE OVERLAP INTEGRAL OF ASSOCIATED LEGENDRE FUNCTIONS - COMMENT [J].

SZALAY, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (12) :2689-2694

← 1 →