Asymptotic analysis of the Bell polynomials by the ray method

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We analyze the Bell polynomials $B_{n}(x)$ asymptotically as $n\to\infty$. We obtain asymptotic approximations from the differential-difference equation which they satisfy, using a discrete version of the ray method. We give some examples showing the accuracy of our formulas.
7 pages, 1 figure

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Classical Analysis and ODEs, 34E05, 11B73, 34E20

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http://salesiana.dossiersoluciones.com/handle/123456789/137219

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0252
 http://arxiv.org/abs/0709.0252

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arXiv