广义Stirling数在组合与统计方面的应用

本文给出了广义 Ｓｔｉｒｌｉｎｇ数 Ｓ（ｎ，ｋ；α，β，γ）的组合解释以及对统计学方面的某些应用，包括Ｃｈａｒａｌａｍｂｉｄｅｓ－Ｋｏｕｔｒａｓ等人的结果为特例．  

Some polynomials associated with the $${\vavec{}}$$-Whitney numbes

In the present article, we study three families of polynomials associated with the r-Whitney numbers of the second kind. They are the r-Dowling polynomials, r-Whitney–Fubini polynomials and the r-Eulerian–Fubini polynomials. Then we derive several combinatorial results by using algebraic arguments (Rota’s method), combinatorial arguments (set partitions) and asymptotic methods.