Stirling numbers and the Pascal matrix function
نویسندگان
چکیده
منابع مشابه
Stirling Numbers and Generalized Zagreb Indices
We show how generalized Zagreb indices $M_1^k(G)$ can be computed by using a simple graph polynomial and Stirling numbers of the second kind. In that way we explain and clarify the meaning of a triangle of numbers used to establish the same result in an earlier reference.
متن کاملThe p-Stirling Numbers
The purpose of this article is to introduce p-Stirling numbers of the first and second kinds.
متن کاملThe r-Stirling numbers
The r-Stifling numbers of the first and second kind count restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively distinct subsets. The combinatorial and algebraic properties of these numbers, which in most cases generalize similar properties of the regular Stirling numbers, are explored starting...
متن کاملThe D-Stirling Numbers
Abstract In this paper, we introduce a kind of combinatorial numbers, D − Stirling numbers, and its special cases. An exponential generating function of the D − Stirling numbers is given. We also present recurrence relations, monotonicity, and limiting properties of the D−Stirling numbers. Applications to statistical probability function estimation and restricted occupancy theory are provided. ...
متن کاملThe Legendre-Stirling numbers
The Legendre-Stirling numbers are the coeffi cients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the classical Stirling numbers of the second kind which play a similar role in the integral powers of the classical second-order Laguerre differential expression. In a recent paper, Andrews and Littlejoh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2015
ISSN: 1674-7216
DOI: 10.1360/n012015-00030