A note on the von Staudt-Clausen's theorem for the weighted \( q\)-Genocchi numbers

DOI10.1186/S13662-014-0340-3zbMath1364.11052OpenAlexW2161735475WikidataQ59426595 ScholiaQ59426595MaRDI QIDQ318617

Mohammad Hasan, M. Dambrine

Publication date: 5 October 2016

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

Full work available at URL: https://doi.org/10.1186/s13662-014-0340-3

zbMATH Keywords

Genocchi numbervon Staudt-Clausen theoremweighted \( q\)-Euler numberweighted \( q\)-Genocchi number

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (3)

Degenerate \(q\)-Euler polynomials ⋮ On Appell-type Changhee polynomials and numbers ⋮ On the von Staudt-Clausen's theorem related to \(q\)-Frobenius-Euler numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the von Staudt-Clausen's theorem associated with \(q\)-Genocchi numbers
• Some identities on the weighted \(q\)-Euler numbers and \(q\)-Bernstein polynomials
• On the von Staudt-Clausen theorem for \(q\)-Euler numbers
• A note on the analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)
• New approach to \(q\)-Euler polynomials of higher order
• \(q\)-Bernoulli polynomials and \(q\)-umbral calculus
• A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions

This page was built for publication: A note on the von Staudt-Clausen's theorem for the weighted \( q\)-Genocchi numbers