Identities of symmetry for Bernoulli polynomials and power sums

DOI10.1186/s13660-020-02511-9zbMath1503.11049OpenAlexW3105225353MaRDI QIDQ2069588

Dae San Kim, Taekyun Kim, Han Young Kim, JongKyum Kwon

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02511-9

zbMATH Keywords

Bernoulli polynomialpower sum\(p\)-adic Volkenborn integral

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• \(q\)-Volkenborn integration
• Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under \(S_3\)
• Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials
• Three variable symmetric identities involving Carlitz-type \(q\)-Euler polynomials
• \(p\)-adic integral on \(\mathbb{Z}_p\) associated with degenerate Bernoulli polynomials of the second kind
• Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under \(S_{3}\)
• An identity of symmetry for the Bernoulli polynomials
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• A study on a class of q-Euler polynomials under the symmetric group of degree n
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• Some identities of q-Bernoulli polynomials under symmetry group S3
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• Stirling's Series and Bernoulli Numbers

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