Identities for the Chandrasekhar polynomials in the spherical harmonics radiative transfer method.

Computer Science

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Radiative Transfer: Scattering

Scientific paper

Four identities are developed that involve the sum of products of the gnm(ξj) polynomials that appear in the spherical harmonics (PN) method in plane-symmetric, monoenergetic transport theory with anisotropic scattering. Two identities are sums over the index n and two are sums over the index j. The identities can be used for numerical tests when computing high degree polynomials with a high order of scattering anisotropy.

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