English

An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions

Combinatorics 2014-09-11 v1 Classical Analysis and ODEs Number Theory

Abstract

In the paper, the author finds an explicit formula for computing Bell numbers in terms of Kummer confluent hypergeometric functions and Stirling numbers of the second kind.

Keywords

Cite

@article{arxiv.1402.2361,
  title  = {An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions},
  author = {Feng Qi},
  journal= {arXiv preprint arXiv:1402.2361},
  year   = {2014}
}

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5 pages