A PROBABILISTIC APPROACH TO EXPRESSIONS OF STIRLING NUMBERS OF THE FIRST KIND
YAMATO, Hajime; FUJISAKI, Tsunehiro;
A PROBABILISTIC APPROACH TO EXPRESSIONS OF STIRLING NUMBERS OF THE FIRST KIND
The authors give a new proof, based on independent discrete random variables, for two known representations of Stirling numbers of the first kind. The proof is based on a recursive formula, and the authors utilize a sequence of independent discrete random variables.
Japan
- Kagoshima University Japan
probabilistic proof, Sums of independent random variables; random walks, 417, Bell and Stirling numbers, representations of Stirling numbers of the first kind, 数学
probabilistic proof, Sums of independent random variables; random walks, 417, Bell and Stirling numbers, representations of Stirling numbers of the first kind, 数学
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