The overlap integral of three associated legendre polynomials

Shi Hai Dong; R. Lemus

doi:10.1016/S0893-9659(02)80004-0

The overlap integral of three associated legendre polynomials

Shi Hai Dong, R. Lemus

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

24 Scopus citations

Abstract

A closed formula with a double sum is obtained for the overlap integral of three associated Legendre polynomials (ALPs). The result is applicable to integral involving the ALP with arbitrary degree l and order m. Special overlap integrals, including the cases m₃ = m₁ + m₂ or |m₁ - m₂|, are presented. A general formula for the overlap integral of an arbitrary number of ALPs is also developed.

Original language	English
Pages (from-to)	541-546
Number of pages	6
Journal	Applied Mathematics Letters
Volume	15
Issue number	5
DOIs	https://doi.org/10.1016/S0893-9659(02)80004-0
State	Published - Jul 2002
Externally published	Yes

Keywords

Associated Legendre polynomial
Overlap integral

Access to Document

10.1016/S0893-9659(02)80004-0

Cite this

@article{86a3ccf096e64b7f99388453822a594f,

title = "The overlap integral of three associated legendre polynomials",

abstract = "A closed formula with a double sum is obtained for the overlap integral of three associated Legendre polynomials (ALPs). The result is applicable to integral involving the ALP with arbitrary degree l and order m. Special overlap integrals, including the cases m3 = m1 + m2 or |m1 - m2|, are presented. A general formula for the overlap integral of an arbitrary number of ALPs is also developed.",

keywords = "Associated Legendre polynomial, Overlap integral",

author = "Dong, {Shi Hai} and R. Lemus",

year = "2002",

month = jul,

doi = "10.1016/S0893-9659(02)80004-0",

language = "Ingl{\'e}s",

volume = "15",

pages = "541--546",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

number = "5",

}

TY - JOUR

T1 - The overlap integral of three associated legendre polynomials

AU - Dong, Shi Hai

AU - Lemus, R.

PY - 2002/7

Y1 - 2002/7

N2 - A closed formula with a double sum is obtained for the overlap integral of three associated Legendre polynomials (ALPs). The result is applicable to integral involving the ALP with arbitrary degree l and order m. Special overlap integrals, including the cases m3 = m1 + m2 or |m1 - m2|, are presented. A general formula for the overlap integral of an arbitrary number of ALPs is also developed.

AB - A closed formula with a double sum is obtained for the overlap integral of three associated Legendre polynomials (ALPs). The result is applicable to integral involving the ALP with arbitrary degree l and order m. Special overlap integrals, including the cases m3 = m1 + m2 or |m1 - m2|, are presented. A general formula for the overlap integral of an arbitrary number of ALPs is also developed.

KW - Associated Legendre polynomial

KW - Overlap integral

UR - http://www.scopus.com/inward/record.url?scp=33748166163&partnerID=8YFLogxK

U2 - 10.1016/S0893-9659(02)80004-0

DO - 10.1016/S0893-9659(02)80004-0

M3 - Artículo

SN - 0893-9659

VL - 15

SP - 541

EP - 546

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

The overlap integral of three associated legendre polynomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this