On the von Staudt-Clausen's theorem associated with \(q\)-Genocchi numbers

DOI10.1016/j.amc.2014.09.053zbMath1338.11022OpenAlexW2050586893MaRDI QIDQ297820

Serkan Araci, Erdoğan Şen, Mehmet Acikgoz

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.053

zbMATH Keywords

\(q\)-Genocchi numbersGenocchi numbers and polynomialsKummer congruencevon Staudt-Clausen's theorem

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items

On the new type of degenerate poly-Genocchi numbers and polynomials ⋮ Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications ⋮ On the twisted Daehee polynomials with \(q\)-parameter ⋮ A note on the von Staudt-Clausen's theorem for the weighted \( q\)-Genocchi numbers ⋮ A note on the values of weighted \(q\)-Bernstein polynomials and weighted \(q\)-Genocchi numbers ⋮ Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials ⋮ Symmetric functions of binary products of fibonacci and orthogonal polynomials ⋮ On a \(q\)-analog of some numbers and polynomials ⋮ On the von Staudt-Clausen's theorem related to \(q\)-Frobenius-Euler numbers ⋮ A note on degenerate poly-Genocchi numbers and polynomials

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