Asymptotic analysis of the Bell polynomials by the ray method

Details Asymptotic analysis of the Bell polynomials by the ray method Asymptotic analysis of the Bell polynomials by the ray method

2007-09-03

arxiv.org/abs/0709.0252v1

Mathematics

Classical Analysis and ODEs

7 pages, 1 figure

Scientific paper

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.

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