Calculation of Augmented Jacobi Polynomials by Means of a Recurrence Relation
Zhide Liang, Jiazheng Xu, Fu Wang
Abstract
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Zhide Liang, Jiazheng Xu, Fu Wang
Abstract
Open-access reader
A recurrence relation for Zℓmn(ξ) is deduced from the recurrence relations for Jacobi polynomials. Based on this relation an ALGOL‐60 program has been written for efficiently calculating the Zℓmn(ξ) required in ODF analysis.
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A recurrence relation for Zℓmn(ξ) is deduced from the recurrence relations for Jacobi polynomials. Based on this relation an ALGOL‐60 program has been written for efficiently calculating the Zℓmn(ξ) required in ODF analysis.
Key concepts: Recurrence relation, Relation (database), Jacobi polynomials, Mathematics, Algebra over a field, Applied mathematics, Pure mathematics, Orthogonal polynomials