Some identities of symmetry for q-Euler polynomials under the symmetric group of degeree n arising from fermionic p-adic q-integrals on Zp

2015/04/22 by Dmitry V. Dolgy, Dolgy, Dmitry V., Dae San Kim +3
Mathematics · #11B68 #11S80 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1504.05801

7 pages

arxiv created 2015/04/22 · openalex publication_date 2015/04/22 · arxiv updated 2015/04/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 Zp.

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• Identities of symmetry for expansion of q-Euler polynomials
• Some identities of symmetry for the degenerate q-Bernoulli polynomials under symmetry group of degree n
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• Some identities of symmetry for q-Bernoulli polynomials under symmetric group of degree n
• Symmetric identities of higher-order degenerate Euler polynomials