JACOBI POLYNOMIALS

JACOBI, C. G. J.

Untersuchungen über die Differentialgleichung der hypergeometrischen Reihe.

Berlin, Georg Reimer, 1859. 4to. No wrappers. In "Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle", Bd. 56, 1859. Entire volume offered. Fine and clean. 149-65 pp. [Entire volume: IV, 375, (1) pp.].

First printing of Jacobi's paper (published posthumously) in which Jacobi polynomials was first introduced. Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials. The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.

Order-nr.: 49768