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

Abstract

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.

Keywords

• symmetric identity
• Stirling polynomial
• Stirling number of the second kind
• finite symmetric group
• permutation
• higher order Bernoulli polynomial