Identities of symmetry for higher-order q-Euler polynomials

2014/01/13 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
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.1401.2759

7 pages

arxiv created 2014/01/13 · openalex publication_date 2014/01/13 · arxiv updated 2014/01/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive basic identities of symmetry in two variables related to higher-order q-Euler polynomials and q-analogue of higher order alternating power sums. The derivation of identities are based on the multibvariate p-adic fermionic integral espression of the generating function for the higher-order q-Euler polynomials.

Related

• Identities of symmetry for q-Euler polynomials
• Identities of symmetry for higher-order generalized q-Euler polyonmials
• Some identities of symmetry for the generalized q-Euler polynomials
• Identities of symmetry for (h;q)-extension of higher-order Euler polynomials
• Identities of symmetry for generalized Euler polynomials