Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group

In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree <i>n</i>. These identities extend and generalize some known results.

Bibliographic Details
Main Authors:	Dongkyu Lim, Feng Qi
Format:	Article
Language:	English
Published:	MDPI AG 2018-12-01
Series:	Mathematics
Subjects:	symmetric identity Stirling polynomial Stirling number of the second kind finite symmetric group permutation higher order Bernoulli polynomial
Online Access:	https://www.mdpi.com/2227-7390/6/12/332

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spelling	doaj-44551b1cc857457f84ee3116b9fbf0542020-11-25T01:26:03ZengMDPI AGMathematics2227-73902018-12-0161233210.3390/math6120332math6120332Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric GroupDongkyu Lim0Feng Qi1Department of Mathematics, Sungkyunkwan University, Suwon 16419, KoreaInstitute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, ChinaIn the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree <i>n</i>. These identities extend and generalize some known results.https://www.mdpi.com/2227-7390/6/12/332symmetric identityStirling polynomialStirling number of the second kindfinite symmetric grouppermutationhigher order Bernoulli polynomial
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dongkyu Lim Feng Qi
spellingShingle	Dongkyu Lim Feng Qi Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group Mathematics symmetric identity Stirling polynomial Stirling number of the second kind finite symmetric group permutation higher order Bernoulli polynomial
author_facet	Dongkyu Lim Feng Qi
author_sort	Dongkyu Lim
title	Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
title_short	Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
title_full	Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
title_fullStr	Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
title_full_unstemmed	Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
title_sort	some symmetric identities involving the stirling polynomials under the finite symmetric group
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2018-12-01
description	In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree <i>n</i>. These identities extend and generalize some known results.
topic	symmetric identity Stirling polynomial Stirling number of the second kind finite symmetric group permutation higher order Bernoulli polynomial
url	https://www.mdpi.com/2227-7390/6/12/332
work_keys_str_mv	AT dongkyulim somesymmetricidentitiesinvolvingthestirlingpolynomialsunderthefinitesymmetricgroup AT fengqi somesymmetricidentitiesinvolvingthestirlingpolynomialsunderthefinitesymmetricgroup
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Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group

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