Bell Numbers in Matsunaga’s and Arima’s Genjikō Combinatorics: Modern Perspectives and Local Limit Theorems

Xiaoling Dou, Hsien Kuei Hwang, Chong Yi Li

研究成果: Article査読

抄録

We examine and clarify in detail the contributions of Yoshisuke Matsunaga (1694?–1744) to the computation of Bell numbers in the eighteenth century (in the Edo period), providing modern perspectives to some unknown materials that are by far the earliest in the history of Bell numbers. Later clarification and developments by Yoriyuki Arima (1714–1783), and several new results such as the asymptotic distributions (notably the corresponding local limit theorems) of a few closely related sequences are also given.

本文言語English
論文番号P2.2
ジャーナルElectronic Journal of Combinatorics
29
2
DOI
出版ステータスPublished - 2022

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 幾何学とトポロジー
  • 離散数学と組合せ数学
  • 計算理論と計算数学
  • 応用数学

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