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Rodrigues' formula
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{{Short description|Formula for the Legendre polynomials}} {{for|the 3-dimensional rotation formula|Rodrigues' rotation formula}} In [[mathematics]], '''Rodrigues' formula''' (formerly called the '''Ivory–Jacobi formula''') generates the [[Legendre polynomials]]. It was independently introduced by {{harvs|txt|authorlink=Olinde Rodrigues|first=Olinde|last=Rodrigues|year=1816}}, {{harvs|txt|authorlink=James Ivory (mathematician)|first=Sir James|last= Ivory|year=1824}} and {{harvs|txt|authorlink=Carl Gustav Jacob Jacobi|first=Carl Gustav|last=Jacobi|year=1827}}. The name "Rodrigues formula" was introduced by [[Eduard Heine|Heine]] in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it. The term is also used to describe similar formulas for other [[orthogonal polynomials]]. {{harvtxt|Askey|2005}} describes the history of the Rodrigues formula in detail.
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