Some Identities of q-Euler Polynomials under the Symmetric Group of Degree n

Volume 9, Issue 3, pp 1077--1082 http://dx.doi.org/10.22436/jnsa.009.03.35

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Authors

T. Kim - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China. - Department of Mathematics, Kwangwoon University, Seoul 139-701, S. Korea. D. S. Kim - Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea. H.-I. Kwon - Department of Mathematics, Kwangwoon University, Seoul 139-701, S. Korea. J.-J. Seo - Department of Applied Mathematics, Pukyong National University, Pusan 608-739, S. Korea. D. V. Dolgy - Hanrimwon, Kwangwoon University, Seoul 139-701, Republic of Korea.

Abstract

In this paper, we investigate some new symmetric identities for the q-Euler polynomials under the symmetric group of degree n which are derived from fermionic p-adic q-integrals on \(\mathbb{Z}_p\).

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Keywords

• Identities of symmetry
• Carlitz-type q-Euler polynomial
• symmetric group of degree n
• fermionic p-adic q-integral.

MSC

•  11B68
•  11S80
•  05A19
•  05A30

References

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