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 gr
✦ LIBER ✦
Asymptotics for the Greatest Zeros of Szegö's Generalization of the Hermite Polynomials
✍ Scribed by Silvia Noschese
- Book ID
- 110236475
- Publisher
- Akadmiai Kiad
- Year
- 1997
- Tongue
- English
- Weight
- 298 KB
- Volume
- 75
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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The Hermite-Bell polynomials are defined by H r n (x) = (-) n exp(x r )(d/dx) n exp(-x r ) for n = 0, 1, 2, . . . and integer r ≥ 2 and generalise the classical Hermite polynomials corresponding to r = 2. We obtain an asymptotic expansion for H r n (x) as n → ∞ using the method of steepest descents.