Carlitz q-Bernoulli numbers and q-Stirling numbers

2007/08/24 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0708.3306

openalex publication_date 2007/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers of the first and the second kind. From these numbers we derive many interesting formulae associated with q-Bernoulli numbers.

Related

• q-Bernoulli numbers and Stirling numbers(2)
• q-analogues of sums of consecutive powers of natural numbers and extended Carlitz q-Bernoulli numbers and polynomials
• Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers
• Carlitz q-Bernoulli numbers and continued fractions
• New formulas involving Bernoulli and Stirling numbers of both kinds