\(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\)

DOI10.1155/2008/232187zbMath1149.11010OpenAlexW2114739742WikidataQ58644294 ScholiaQ58644294MaRDI QIDQ938382

Taekyun Kim, Lee-Chae Jang

Publication date: 19 August 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/232187

zbMATH Keywords

\(q\)-Euler polynomials\(p\)-adic \(q\)-integral\(q\)-Euler number\(q\)-Genocchi numberGenocchi number polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (10)

A note on some properties of the weighted \(q\)-Genocchi numbers and polynomials ⋮ On multiple generalized \(w\)-Genocchi polynomials and their applications ⋮ A Survey on p-Adic Integrals ⋮ A new approach to \(q\)-Genocchi numbers and their interpolation functions ⋮ On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions ⋮ On Genocchi numbers and polynomials ⋮ On Euler numbers, polynomials and related \(p\)-adic integrals ⋮ On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮ Arithmetic identities involving Genocchi and Stirling numbers ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-Bernoulli numbers associated with \(q\)-Stirling numbers.
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Euler numbers and polynomials associated with zeta functions
• Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers
• Sums of products of Kronecker's double series
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• q-EXTENSIONS OF GENOCCHI NUMBERS
• q-Euler numbers and polynomials associated with p-adic q-integrals
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials

This page was built for publication: \(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\)