p-adic invariant integral on Zp associated with the Changhee q-Bernoulli polynomials

2013/06/30 by Jong Jin Seo, Seo, Jong Jin, Taekyun Kim +1
Mathematics · #11S80 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #aaB68 #math.NT #msc:11S80

paper · pdf · doi:10.48550/arxiv.1307.0173

11 pages

arxiv created 2013/06/30 · openalex publication_date 2013/06/30 · arxiv updated 2013/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study some properties of Changhee's q-Bernou lli polynomials which are derived from p-adic invariant integral on Zp. By using these properties, we give some interesting identities related to higher- order q-Bernoulli polynomials.

Related

• On the generalized higher-order q-Bernoulli numbers and polynomials
• Higher-order Changhee numbers and polynomials
• Symmetric identities of higher-order degenerate q-Bernoulli polynomials
• Some identities of symmetry for the generalized Bernoulli numbers and polynomials
• Symmetry p-adic invariant integral on Z_p for Bernoulli and euler polynomials