The concepts of the first-class number and the second-class number were introduced,and the conversions and properties of those two classes were dealt with,which came to a new conclusion.
从基本定理出发,推广了P-进制计数法,建立了广义P-进制系统,引入了第一类数、第二类数的概念,探讨了两者之间的转换关系以及性质,得到了新的结论,给出了应用举例。
Relationship of Stirling numbers of the first kind and Stirling numbers of the second kind;
第一类Stirling数和第二类Stirling数的关系式
The purpose of this paper is to give analogous definitions of Apostol type, obtain certain explicit formulas involving the Stirling numbers of the second kind and Gaussian hypergeometric functions respectively,discuss their special cases and applications.
利用Apostol的方法,推广了高阶Euler数和多项式,得到了它们分别用第二类Stirling数和Gauss超几何函数表示的公式,最后给出了一些相应的特殊情况和应用。
In this paper,properties of generalized Stirling numbers of the second kind are discussed,some new recurrence formulas for Stirling numbers of the second kind have been obtained.
讨论了广义第二类Stirling数的性质,得到了第二类Stirling数的一些新的递归公式。
Demonstration for Several Identities of Stirling Numbers of the Second Kind
关于第二类stirling数的几个恒等式的证明
An Identity of Stirling Numbers of the Second Kind
关于第二类stirling数的一个恒等式
A Formula For Stirling Number S(n,n-7)of the Second Kind
第二类stirling数S(n,n-7)的一个公式
Stirling Numbers of the Second Kind and Their Generalizations
第二类Stirling数及其推广
Combination Representation of Stirling Number of the Second Kind
第二类Stirling数的组合表示
The Aggregative Demarcation and the Second Stirling Number;
集合的划分与第二类Stirling数
The two identities of Stirling numbers of the second kind;
第二类Stirling数的两个计算公式
The Proof for Formula of Stirling Numbers of the Second-kind
第二类Stirling数计算公式的一种证明
A formula of S_3(n,n-tk) of the Generalized Second Kind Stirling Numbers
广义第二类Stirling数S_3(n,n-tk)的一个公式
An equation of Stirling number of the second kind
第二类Stirling数的一个恒等式
A Formula of S_2(n,n-k) of the Second Kind Stirling Numbers
第二类Stirling数S_2(n,n-k)的一个公式
An Extension of the Generalized Stirling Numbers of First Kind;
广义第一类stirling数的推广
The Related Research of the Generalized Stirling Numbers of The Second Kind;
有关广义第二类Stirling数S~(λ，μ)(η，κ)的研究
Some Property of the Second kind Stirling Number that Related to Color-Graphs;
第二类STIRLING数与图的色多项式有关的几条性质
A General Formula for the Stirling Number of the Second Type S(n,n-k)
第二类Stirling数S(n,n-k)的一个一般计算公式
Analytic Representative of the First Kind Stirling Number and Bernoulli Number;
第一类Stirling数与Bernoulli数的解析表示式
Analytical Form of Stirling Number of the First Kind
第1类Stirling数的解析表达式
Some Identities of Stirling Number of the Second Kind
第2类Stirling数的2个恒等式