English

Asymptotic analysis of the Bell polynomials by the ray method

Classical Analysis and ODEs 2007-09-04 v1

Abstract

We analyze the Bell polynomials Bn(x)B_{n}(x) asymptotically as nn\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.

Keywords

Cite

@article{arxiv.0709.0252,
  title  = {Asymptotic analysis of the Bell polynomials by the ray method},
  author = {Diego Dominici},
  journal= {arXiv preprint arXiv:0709.0252},
  year   = {2007}
}

Comments

7 pages, 1 figure