论文标题
关于斯特林数字和贝塞尔数字之间的连接的一些观察
Some observations on the connection between Stirling numbers and Bessel numbers
论文作者
论文摘要
我们为某些涉及第一和第二类的stirling数字的总和身份提供了新的证明。这两个主要身份显示了斯特林数字和贝塞尔号码之间的连接。我们的方法基于以两种不同的方式求解特定复发关系，并比较所得多项式表达式中的系数。我们还简要讨论了这种复发关系发生的概率环境。
We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and Bessel numbers. Our method is based on solving a particular recurrence relation in two different ways and comparing the coefficients in the resulting polynomial expressions. We also briefly discuss a probabilistic setting where this recurrence relation occurs.
