Asymptotic analysis of the Bell polynomials by the ray method
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摘要
We analyze the Bell polynomials Bn(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.
论文关键词：34E05,11B73,34E20,Bell polynomials,Asymptotic expansions,Stirling numbers
论文评审过程：Received 3 September 2007, Available online 28 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.082
