RODRIGUES'S FORMULA

JACOBI, C. G. J.

Ueber eine besondere Gattung algebraischer Functionen, die aus der Entwicklung der Function (1 - 2xz + z2)1/2 entstehen.

Berlin, G. Reimer, 1827. 4to. As extracted from "Journal für die reine und angewandte Mathematik, 2. Band, 1827"., without backstrip. Fine and clean. [Gudermann:] Pp. 223-226. [Entire volue: Pp. 198-292 + two folded plates].

First printing of Jacobi's accouncement of the Rodrigues's formula (formerly called the Ivory-Jacobi formula). Rodrigues's formula is a formula for Legendre polynomials independently introduced by Olinde Rodrigues in 1816 and Sir James Ivory in 1824 and Carl Gustav Jacobi in 1827 [The present]. The name "Rodrigues formula" was introduced by Heine in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it, and is also used for generalizations to other orthogonal polynomials.

Order-nr.: 47282