Stirling Numbers of the Second Kind

By Karol Pąk. 2005

203 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/45042f3b0cdd303f32dacd7f1c16954d492ab288

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Kartik Venkat
2. Jiantao Jiao
3. Tsachy Weissman
4. Yanjun Han

In Discrete Mathematics and Combinatorics

1. Kartik Venkat
2. Jiantao Jiao
3. Tsachy Weissman
4. Yanjun Han

In Organic Chemistry

1. Kartik Venkat
2. Jiantao Jiao
3. Tsachy Weissman
4. Yanjun Han

Citations in the corpus

• Minimax Estimation of Functionals of Discrete Distributions (2014, methodology): “where { k i } is the Stirling numbers of the second kind, and we have used the inequality [99] { k i } ≤ ( k i ) ik−i.”
• One mixed negative binomial distribution with application (2011, unknown): “…naturally from Hða,b; c,1Þ ¼GðcÞGðc a bÞ= Gðc aÞGðc bÞ, for c a b40 that m½k ðZÞ ¼ GðrþkÞ GðrÞ Bða k,bþkÞ Bða,bÞ , koa: ð2:5Þ The moments at the origin can be easily obtained by mn ¼ Pn k ¼ 1 S k nm½k , where Sn k stands for the Stirling numbers of the second kind (see Rennie and Dobson, 1969).”