Rodrigues' formula, formerly known as the Ivory-Jacobi formula, is a formula in mathematics that generates the Legendre polynomials. It was discovered independently by three mathematicians, Olinde Rodrigues in 1816, James Ivory in 1824, and Carl Gustav Jacobi in 1827, though the name settled on Rodrigues only after Charles Hermite pointed out in 1865 that Rodrigues had found it first, and Eduard Heine introduced the term Rodrigues formula in 1878. The name has since been extended to similar generating formulas for other families of orthogonal polynomials, making it a foundational tool in the study of special functions.
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Source MacTutor History of Mathematics, University of St Andrews: Benjamin Olinde Rodrigues
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1. Rodrigues' formula (Wikipedia)
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In mathematics, Rodrigues' formula (formerly called the Ivory-Jacobi formula) generates the Legendre polynomials.
Attributed To: Olinde Rodrigues, Lead sentence, attribution
independently introduced by Olinde Rodrigues (1816)
View the Source2. Rodrigues' formula (Wikipedia)
Wikipedia Rodrigues' formula lead paragraph (w-bbfill-psymath4-0926)Quote, Wikipedia Rodrigues' formula lead paragraph (w-bbfill-psymath4-0926)
introduced by Olinde Rodrigues (1816
MacTutor History of Mathematics, University of St Andrews: Benjamin Olinde Rodrigues
MacTutor History of Mathematics, University of St AndrewsPrincipal Result Of: Olinde Rodrigues, Biography textQuote, Principal Result Of: Olinde Rodrigues, Biography text
Rodrigues was awarded a doctorate in mathematics from the Faculty of Science of the University of Paris in 1816 for a thesis that contains one of the two results for which he is known today, namely the Rodrigues formula for Legendre polynomials: P n = 1 2 n n ! d n d x n [ ( x 2 − 1 ) n ] P_{n} = \
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