On the weighted q-Bernoulli numbers and polynomials

2010/11/24 by Taekyun Kim, Kim, Taekyun
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.1011.5305

9 pages

arxiv created 2010/11/24 · openalex publication_date 2010/11/24 · arxiv updated 2010/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the weighted q-Bernoulli numbers and polynomials which are differnt type of Carlitz's q-Bernoulli numbers and polynomials. From these numbers and polynomials, we derive some interesting formulaes and identities.

Related

• On degenerate Carlitz q-Bernoulli polynomials
• Carlitz q-Bernoulli numbers and q-Stirling numbers
• A note on q-Bernoulli numbers and q-Bernstein polynomials
• A polynomial approach to Carlitz's q-Bernoulli numbers
• q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli polynomials