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Improving the asymptotics for the greatest zeros of hermite polynomials

✍ Scribed by P.E. Ricci

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 365 KB
Volume: 30
Category: Article
ISSN: 0898-1221
DOI: 10.1016/0898-1221(95)00116-6

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✦ Synopsis

The Liouville-Stekloff method for approximating solutions of homogeneous linear ODE and a general result due to Tricomi which provides estimates for the zeros of functions by means of the knowledge of an asymptotic representation are used in order to improve a classical asymptotic formula for the greatest zero of the rt th Hermite polynomial.

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