Extended \(q\)-Euler numbers and polynomials associated with fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\)

DOI10.1134/S1061920807020045zbMath1132.33331arXiv0709.0089MaRDI QIDQ996560

Publication date: 21 September 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0089

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Quantum equilibrium statistical mechanics (general) (82B10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

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On the modified \(q\)-Euler polynomials with weight ⋮ On the \(q\)-Euler numbers and polynomials with weight 0 ⋮ On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions ⋮ Multiple twisted \(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals ⋮ On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives ⋮ On Genocchi numbers and polynomials ⋮ On the symmetries of the \(q\)-Bernoulli polynomials ⋮ A note on the \(q\)-Genocchi numbers and polynomials ⋮ On the symmetric properties of higher-order twisted \(q\)-Euler numbers and polynomials ⋮ On the \(q\)-extension of Apostol-Euler numbers and polynomials ⋮ Note on the Euler \(q\)-zeta functions ⋮ On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮ On the identities of symmetry for the \(\zeta \)-Euler polynomials of higher order ⋮ A note on the \(q\)-Euler measures ⋮ A note on Hölder type inequality for the fermionic \(p\)-adic invariant \(q\)-integral ⋮ Sums of products of \(q\)-Euler polynomials and numbers ⋮ Interpolation functions of \(q\)-extensions of Apostol's type Euler polynomials ⋮ On the identities of symmetry for the generalized Bernoulli polynomials attached to \(\chi \) of higher order ⋮ On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials ⋮ Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\) ⋮ Corrigendum to ``On sums of products of the extended \(q\)-Euler numbers

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