On the symmetric properties of higher-order twisted \(q\)-Euler numbers and polynomials

DOI10.1155/2010/765259zbMath1247.11029OpenAlexW2081430810WikidataQ59249920 ScholiaQ59249920MaRDI QIDQ978549

Eun-Jung Moon, Jeong-Hee Jin, Sun-Jung Lee, Seong-Hoon Rim

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1155/2010/765259

Mathematics Subject Classification ID

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

Related Items

Some identities on the higher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\) ⋮ Generalized \(w\)-Euler numbers and polynomials ⋮ Symmetric identities for Fubini polynomials

Cites Work

• \(q\)-Volkenborn integration
• Extended \(q\)-Euler numbers and polynomials associated with fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\)
• Interpolation function of the \((h,q)\)-extension of twisted Euler numbers
• Note on the Euler \(q\)-zeta functions
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• Applications of a recurrence for the Bernoulli numbers
• On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• Note on the Euler Numbers and Polynomials
• Reflection Symmetries of q-Bernoulli Polynomials
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