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XVII.—The Theory of Recurrent Determinants in the Historical Order of Development up to 1860
Published online by Cambridge University Press: 15 September 2014
Extract
Like Wronskians, and for the same reason, recurrents were at first dealt with among “Miscellaneous Special Forms”: their previous history is thus to be found under Wronski 1812, Scherk 1825, and Schweins 1825 in the chapter so entitled. (History, i. pp. 472–474, 478–481.)
The name is quite recent, having been first proposed by E. Pascal in 1907 in a paper published in the Rendiconti …. 1st. Lombardo, (2) xl. pp. 293–305.
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References
page 305 note * By this, of course, is meant the set of identities known as “Newton's formulæ”—
(See NEWTON, Arith. Univ., Tom. ii., cap. iii., § 8.)
page 306 note * Said to be first given by Cauchy in his Exercices de Math, for 1826
page 307 note * An opportunity was here lost by Bruno of noting that a recurrent with the elements in its zero-bordered diagonal all negative has all its terms positive.
page 308 note * Wronski, H. Introduction a la Philosophie des Mathématiques … (pp. 65, …) vi + 270 pp., Paris, 1811.Google Scholar