Identities of symmetry for higher-order generalized q-Euler polyonmials

2013/12/17 by D. V. Dolgy, Dolgy, D. V., D. S. Kim +7
Mathematics · #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1312.4726

8 pages

arxiv created 2013/12/17 · openalex publication_date 2013/12/17 · arxiv updated 2013/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers. From our investigation, we can derive many interesting identities of symmetry in two variables related to generalized higher-order q-Euler polynomials and alternating generalized q-power sums.

Citations

• The p-adic generalized twisted (h,q)-euler-l-function and its applications

Related

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