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Volume 2 (1975), Issue 1, Pages 57-66
http://dx.doi.org/10.1155/TSM.2.57

Program for Calculation of Augmented Jacobi Polynomials

Research and Technology, Armco Steel Corporation, Middletown, Ohio 45043, USA

Received 26 September 1975

Copyright © 1975 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The augmented Jacobi polynomials, designated Zmn by Roe, or the closely related generalized Legendre functions, Pmn(cosϕ) 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 Zmn(ξ) for =0,1,,32; m=0,1,,; n=0,1,,.