A generalized formula for the integral of three associated legendre polynomials

H. A. Mavromatis; R. S. Alassar

doi:10.1016/S0893-9659(98)00180-3

A generalized formula for the integral of three associated legendre polynomials

H. A. Mavromatis^*
, R. S. Alassar

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the ₃F₂ hypergeometric function and the 3 - j symbols. The special case, when the integral reduces to a particularly simple familiar expression, is also mentioned.

Original language	English
Pages (from-to)	101-105
Number of pages	5
Journal	Applied Mathematics Letters
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(98)00180-3
State	Published - May 1999

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/S0893-9659(98)00180-3

Cite this

@article{c3f2c65952704172820ed9f79af07686,

title = "A generalized formula for the integral of three associated legendre polynomials",

abstract = "In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the 3F2 hypergeometric function and the 3 - j symbols. The special case, when the integral reduces to a particularly simple familiar expression, is also mentioned.",

author = "Mavromatis, \{H. A.\} and Alassar, \{R. S.\}",

year = "1999",

month = may,

doi = "10.1016/S0893-9659(98)00180-3",

language = "English",

volume = "12",

pages = "101--105",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd.",

number = "3",

}

TY - JOUR

T1 - A generalized formula for the integral of three associated legendre polynomials

AU - Mavromatis, H. A.

AU - Alassar, R. S.

PY - 1999/5

Y1 - 1999/5

N2 - In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the 3F2 hypergeometric function and the 3 - j symbols. The special case, when the integral reduces to a particularly simple familiar expression, is also mentioned.

AB - In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the 3F2 hypergeometric function and the 3 - j symbols. The special case, when the integral reduces to a particularly simple familiar expression, is also mentioned.

UR - https://www.scopus.com/pages/publications/0010371855

U2 - 10.1016/S0893-9659(98)00180-3

DO - 10.1016/S0893-9659(98)00180-3

M3 - Article

AN - SCOPUS:0010371855

SN - 0893-9659

VL - 12

SP - 101

EP - 105

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

A generalized formula for the integral of three associated legendre polynomials

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this