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The overlap integral of three associated Legendre polynomials

โœ Scribed by Shi-hai Dong; R. Lemus

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
327 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 1 and order m. Special overlap integrals, including the cases mg = ml + rn2 or Irnl -rnzl, are presented. A general formula for the overlap integral of an arbitrary number of ALPS is also developed.

๐Ÿ“œ SIMILAR VOLUMES

A generalized formula for the integral o
A generalized formula for the integral of three associated Legendre polynomials
โœ H.A. Mavromatis; R.S. Alassar ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

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 particula