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Open AccessArticle

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

by Dongkyu Lim 1,* and Feng Qi 2,3
1
Department of Mathematics, Sungkyunkwan University, Suwon 16419, Korea
2
Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
3
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 332; https://doi.org/10.3390/math6120332
Received: 6 November 2018 / Revised: 6 December 2018 / Accepted: 15 December 2018 / Published: 17 December 2018
(This article belongs to the Special Issue Special Functions and Applications)
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 n. These identities extend and generalize some known results. View Full-Text
Keywords: symmetric identity; Stirling polynomial; Stirling number of the second kind; finite symmetric group; permutation; higher order Bernoulli polynomial symmetric identity; Stirling polynomial; Stirling number of the second kind; finite symmetric group; permutation; higher order Bernoulli polynomial
MDPI and ACS Style

Lim, D.; Qi, F. Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group. Mathematics 2018, 6, 332.

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