2012/01/01 by Serkan Aracı, Serkan Araci, Mehmet Açıkgöz +2
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Euler's formula #Mathematical analysis #Mathematics #Pure mathematics #math.NT
paper · pdf · doi:10.1155/2012/298531
published as Abstract and Applied AnalysisVolume 2012 (2012), Article ID 298531, 11 pages · 9 pages, submitted
openalex publication_date 2012/01/01 · arxiv created 2012/04/04 · arxiv updated 2013/08/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We deal with q ‐Euler numbers and q ‐Bernoulli numbers. We derive some interesting relations for q ‐Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the q ‐Euler numbers and q ‐Bernoulli numbers via the p ‐adic q ‐integral in the p ‐adic integer ring.