Program for Calculation of Augmented Jacobi Polynomials

Abstract

The augmented Jacobi polynomials, designated Zℓmn by Roe, or the closely related generalized Legendre functions, Pℓmn(cos⁡ϕ) of Bunge, are required for series expansions of the crystallite orientation distribution. The problem of publishing extensive tabular information has limited compilation of these functions to certain crystal and physical symmetries. This paper gives a brief description and listing of a computer program which permits calculation of Fourier sine (m–n odd) or cosine (m–n even) series expansions of Zℓmn(ξ) for ℓ=0,1,…,32; m=0,1,…,ℓ; n=0,1,…,ℓ.