A note on symmetric properties of the multiple q-Euler zeta functions and higher-order q-Euler polynomials

2013/12/25 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
Mathematics · #11B68 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68

paper · pdf · doi:10.48550/arxiv.1312.6977

6 pages

arxiv created 2013/12/25 · openalex publication_date 2013/12/25 · arxiv updated 2013/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Recently, the higher-order q-Euler polynomials and multiple q-Euler zeta functions are introduced by T. Kim ([8, 9]). In this paper, we investigate some symmetric properties of the multiple q-Euler zeta function and derive various identities concerning the higher-order q-Euler polynomials from the symmetric properties of the multiple q-Euler zeta functions.

Related

• Identities of symmetry for (h;q)-extension of higher-order Euler polynomials
• Note on multiple q-zeta functions
• Some identities of symmetry for the generalized q-Euler polynomials
• q-Euler numbers and polynomials associated with multiple q-zeta functions
• Identities of symmetry for higher-order generalized q-Euler polyonmials