Asymptotic analysis of the Bell polynomials by the ray method

[摘要] We analyze the Bell polynomials B(n)(x) asymptotically as n -> infinity. 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. (C) 2009 Elsevier B.V. All rights reserved.

[发布日期] 2009-12-01

[效力级别]  Proceedings Paper

[关键词] Bell polynomials;Asymptotic expansions;Stirling numbers