IDENTITIES FOR THE CHANDRASEKHAR POLYNOMIALS IN THE SPHERICAL-HARMONICS RADIATIVE-TRANSFER METHOD

Authors
MCCORMICK NJ
Citation
Nj. Mccormick, IDENTITIES FOR THE CHANDRASEKHAR POLYNOMIALS IN THE SPHERICAL-HARMONICS RADIATIVE-TRANSFER METHOD, Journal of quantitative spectroscopy & radiative transfer, 54(5), 1995, pp. 851-856
Citations number
12
Categorie Soggetti
Spectroscopy
Journal title
Journal of quantitative spectroscopy & radiative transfer → ACNP
ISSN journal
00224073
Volume
54
Issue
5
Year of publication
1995
Pages
851 - 856
Database
ISI
SICI code
0022-4073(1995)54:5<851:IFTCPI>2.0.ZU;2-A
Abstract
Four identities are developed that involve the sum of products of the g(n)(m)(xi(j)) polynomials that appear in the spherical harmonics (P-N ) method in plane-symmetric, monoenergetic transport theory with aniso tropic scattering. Two identities are sums over the index n and two ar e sums over the index j. The identities can be used for numerical test s when computing high degree polynomials with a high order of scatteri ng anisotropy.