2015/06/10 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
Mathematics · #05A40 #11B83 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Bernoulli number #Bernoulli polynomials #Bernoulli's principle #Classical orthogonal polynomials #Combinatorics #Degenerate energy levels #Difference polynomials #Discrete mathematics #Discrete orthogonal polynomials #FOS: Mathematics #Invariant (physics) #Mathematical physics #Mathematics #Number Theory (math.NT) #Orthogonal polynomials #Physics #Pure mathematics #Quantum mechanics #math.NT #msc:05A40 #msc:11B83 #msc:11S80
paper · pdf · doi:10.48550/arxiv.1506.03424
8 pages
arxiv created 2015/06/10 · openalex publication_date 2015/06/10 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we consider degenerate poly-Bernoulli numbers and polynomials associated with polylogarithmic function and p-adic invariant integral on Zp. By using umbral calculus, we derive some identities of those numbers and polynomials