Asymptotic analysis of the Bell polynomials by the ray method

2007/09/03 by Diego Dominici, Dominici, Diego
Computer Science · Mathematics · #11B73 #34E05 #34E20 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #math.CA #msc:11B73 #msc:34E05 #msc:34E20

paper · pdf · doi:10.48550/arxiv.0709.0252

7 pages, 1 figure

arxiv created 2007/09/03 · openalex publication_date 2007/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the Bell polynomials B_n(x) asymptotically as n→∞. 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.

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