Bounds on the location of the maximum Stirling numbers of the second kind
نویسنده
چکیده
Let S(n, k) denote the Stirling number of the second kind, and let Kn be such that S(n,Kn − 1) < S(n,Kn) ≥ S(n,Kn + 1). Using a probabilistic argument, we show that, for all n ≥ 2, ⌊e⌋ − 2 ≤ Kn ≤ ⌊e ⌋+ 1, where ⌊x⌋ denotes the integer part of x, and w(n) denotes Lambert’s W function.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 309 شماره
صفحات -
تاریخ انتشار 2009