AN EXPLICIT FORMULA FOR BERNOULLI POLYNOMIALS IN TERMS OF 𝑟-STIRLING NUMBERS OF THE SECOND KIND

BN Guo, I MEZŐ, F Qi - The Rocky Mountain Journal of Mathematics, 2016 - JSTOR
AN EXPLICIT FORMULA FOR BERNOULLI POLYNOMIALS IN TERMS OF r-STIRLING
NUMBERS OF THE SECOND KIND 1. Introduction. It is well know Page 1 ROCKY MOUNTAIN …

Weak order on complete quadrics

M Can, M Joyce - Transactions of the American Mathematical Society, 2013 - ams.org
Using an action of the Richardson-Springer monoid on involutions, we study the weak order
on the variety of complete quadrics. Maximal chains in the poset are explicitly determined …

[PDF][PDF] Identities and congruences involving the geometric polynomials

M Mihoubi, S Taharbouchet - Miskolc Mathematical Notes, 2019 - real.mtak.hu
In this paper, we investigate the umbral representation of the geometric polynomials wn x
WD wn. x/to derive some properties involving these polynomials. Furthermore, for any prime …

New Proof of the Property of Stirling Number Based on Fubini Polynomials

L Wang, X Liu - Journal of Mathematics, 2024 - Wiley Online Library
The main purpose of this article is using the elementary methods and the properties of the
Fubini polynomials to study the congruence properties of a signless Stirling number of the …

On the moments of normal distributions and numbers of standard Young tableaux

P Sun - Advances in Applied Mathematics, 2021 - Elsevier
The exponential generating function of the number T n of standard Young tableaux of size n
(or the number of involutions of n letters) is known to be e t+ t 2 2, which coincides with the …

Identities and congruences involving the Fubini polynomials

M Mihoubi, S Taharbouchet - arXiv preprint arXiv:1706.08950, 2017 - arxiv.org
In this paper, we investigate the umbral representation of the Fubini polynomials $ F_
{x}^{n}:= F_ {n}(x) $ to derive some properties involving these polynomials. For any prime …

[引用][C] An explicit formula for Bernoulli polynomials in terms of -Stirling numbers of the second kind

BN Guo, I Mező, F Qi - 2016 - projecteuclid.org
AN EXPLICIT FORMULA FOR BERNOULLI POLYNOMIALS IN TERMS OF r-STIRLING
NUMBERS OF THE SECOND KIND 1. Introduction. It is well know Page 1 ROCKY MOUNTAIN …