An acoustical interpretation of the zeroes of ultraspherical polynomials

Autor: Georges Le Vey

Publikováno v: Comptes rendus de l’Académie des sciences. Série IIb, Mécanique
Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 2016, 344 (6), pp.434-438. ⟨10.1016/j.crme.2016.01.005⟩

International audience; In 1887, T.J Stieltjes gave an electrostatical interpretation of the zeroes of Jacobi polynomials. This was extended later to Laguerre and Hermite polynomials by G. Szeg\"o. An analogous interpretation is given here for ultras

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