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- W2331966019 abstract "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. Szegö. An analogous interpretation is given here for ultraspherical polynomials in terms of piecewise cylindrical acoustical resonators. En 1887, T.J. Stieltjes a donné une interprétation des zéros des polynômes de Jacobi, en termes d'équilibre d'un système de charges électriques. L'extension aux polynômes de Laguerre et de Hermite en fut donnée ensuite par G. Szegö. Nous donnons ici une interprétation analogue des zéros des polynômes ultrasphériques en termes des fréquences de résonance de résonateurs acoustiques cylindriques par morceaux." @default.
- W2331966019 created "2016-06-24" @default.
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- W2331966019 date "2016-06-01" @default.
- W2331966019 modified "2023-09-26" @default.
- W2331966019 title "An acoustical interpretation of the zeroes of ultraspherical polynomials" @default.
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- W2331966019 doi "https://doi.org/10.1016/j.crme.2016.01.005" @default.
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