Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials

DOI10.1186/1687-1847-2013-246zbMath1375.11020OpenAlexW2052705629WikidataQ59299319 ScholiaQ59299319MaRDI QIDQ1682153

Peng Zhang

Publication date: 28 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-246

zbMATH Keywords

combinatorial identitiesBernoulli numbers and polynomials\(q\)-Bernoulli numbers and polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (10)

Unnamed Item ⋮ Quadratic symmetry of modified \(q\)-Euler polynomials ⋮ Unnamed Item ⋮ Identities of symmetry for Bernoulli polynomials and power sums ⋮ Symmetric identities for Fubini polynomials ⋮ Some symmetric identities involving Fubini polynomials and Euler numbers ⋮ A new sequence and its some congruence properties ⋮ Symmetric identities for \((P,Q)\)-analogue of tangent zeta function ⋮ Some symmetric identities for the multiple (\(p\), \(q\))-Hurwitz-Euler eta function ⋮ SYMMETRIC PROPERTIES OF CARLITZ'S TYPE (p, q)-GENOCCHI POLYNOMIALS

Cites Work

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• Applications of a recurrence for the Bernoulli numbers
• A note on symmetric properties of the twisted \(q\)-Bernoulli polynomials and the twisted generalized \(q\)-Bernoulli polynomials
• Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
• Some symmetric identities involving a sequence of polynomials
• Some series identities involving the generalized Apostol type and related polynomials
• A note on Carlitz \(q\)-Bernoulli numbers and polynomials
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• Applications of the classical umbral calculus
• \(q\)-Bernoulli numbers and polynomials
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• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• Number Theory

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