Some identities of q-Bernoulli polynomials under symmetry group S3

2015/03/17 by Dmitry V. Dolgy, Dolgy, Dmitry V., Dae San Kim +4
Mathematics · #11B68 #11S80 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1503.04893

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arxiv created 2015/03/17 · openalex publication_date 2015/03/17 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give some new identities of Carlitz q-Bernoulli polynomials under symmetry group S 3 . The derivatives of identities are based on the q-Volkenborn integral expression of the generating function for the Carlitz q-Bernoulli polynomials and the q-Volkenborn integral equations that can be expressed as the exponential generating functions for the q-power sums.

Citations

• q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-series

Related

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• Identities of symmetry for q-Bernoulli polynomials
• Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S₃
• Some identities of symmetry for q-Bernoulli polynomials under symmetric group of degree n
• Some identities of symmetry for the degenerate q-Bernoulli polynomials under symmetry group of degree n