Asymptotic analysis of the Bell polynomials by the ray method

Authors:
Diego Dominici
Affiliations:
Department of Mathematics, State University of New York at New Paltz, 1 Hawk Dr., New Paltz, NY 12561-2443, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 4
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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.