A probabilistically attained set of polynomials that generate stirling numbers of the second kind
β Scribed by Arthur J. Roth; Milton Sobel
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 734 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Using probabilistic arguments, we derive a sequence of polynomials in one variable which generate the Stirling numbers of the second kind. Specifically where S: is the desired Stirling number and P,_,,,(*> is the polynomial of degree c -m.
π SIMILAR VOLUMES
A partition u of [k] = {1, 2, . . . , k} is contained in another partition v of [l] if [l] has a k-subset on which v induces u. We are interested in counting partitions v not containing a given partition u or a given set of partitions R. This concept is related to that of forbidden permutations. A s
## Abstract We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field of characteristic unequal to two satisfying a nonβvanishing condition on the powers of the fundamental ideal in the torsion part of the Witt ring. This settles a conjecture of Ongenae an
The object of this paper is to present a systematic introduction to (and several interesting applications of) a general result on generating functions (associated with the Stirling numbers of the second kind) for a fairly wide variety of special functions and polynomials in one, two, and more variab