scientific article
From MaRDI portal
Publication:3514105
zbMath1173.11064MaRDI QIDQ3514105
Publication date: 21 July 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
zeta functions\(p\)-adic \(L\)-functionsBernoulli numbers and polynomialstwisted \(L\)-functionstransforms of special functions
Bernoulli and Euler numbers and polynomials (11B68) Integral transforms of special functions (44A20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)
Related Items
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus ⋮ On fully degenerate Daehee numbers and polynomials of the second kind ⋮ Barnes' type multiple degenerate Bernoulli and Euler polynomials ⋮ On the twisted Daehee polynomials with \(q\)-parameter ⋮ Generalized Boole numbers and polynomials ⋮ Hermite and poly-Bernoulli mixed-type polynomials ⋮ New approach to twisted \(q\)-Bernoulli polynomials ⋮ Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications ⋮ Some properties of higher-order Daehee polynomials of the second kind arising from umbral calculus ⋮ Some identities on the generalized \(q\)-Bernoulli numbers and polynomials associated with \(q\)-Volkenborn integrals ⋮ Extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials ⋮ Some identities of special numbers and polynomials arising from \(p\)-adic integrals on \(\mathbb{Z}_{p}\) ⋮ Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials ⋮ Some identities involving Gegenbauer polynomials ⋮ Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\) ⋮ Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus ⋮ On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\) ⋮ A note on some identities of Frobenius-Euler numbers and polynomials ⋮ A new approach to \(q\)-Genocchi numbers and their interpolation functions ⋮ On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions ⋮ A note on some identities of derangement polynomials ⋮ On the \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\) ⋮ Results on values of Barnes polynomials ⋮ A note on Eulerian polynomials ⋮ A note on symmetric properties of the twisted \(q\)-Bernoulli polynomials and the twisted generalized \(q\)-Bernoulli polynomials ⋮ Special functions related to Dedekind-type DC-sums and their applications ⋮ \(p\)-adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials ⋮ Euler basis, identities, and their applications ⋮ Bernoulli basis and the product of several Bernoulli polynomials ⋮ Derivation of identities involving Bernoulli and Euler numbers ⋮ A numerical investigation on the structure of the zeros of Euler polynomials ⋮ Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials ⋮ A study on the integral of the product of several Bernoulli polynomials ⋮ Umbral calculus associated with Bernoulli polynomials ⋮ Identities on the weighted \(q\)-Bernoulli numbers of higher order ⋮ Some properties of the twisted Changhee polynomials and their zeros ⋮ A new class of Laguerre-based generalized Apostol polynomials ⋮ A note on poly-Bernoulli numbers and polynomials of the second kind ⋮ On the symmetric properties for the generalized twisted Bernoulli polynomials ⋮ A note on \((h,q)\)-Genocchi polynomials and numbers of higher order ⋮ Arithmetic identities involving Bernoulli and Euler numbers ⋮ Some identities on Bernoulli and Hermite polynomials associated with Jacobi polynomials ⋮ A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers ⋮ Some identities of Carlitz degenerate Bernoulli numbers and polynomials ⋮ On the \(q\)-extension of Apostol-Euler numbers and polynomials ⋮ On some arithmetical properties of the Genocchi numbers and polynomials ⋮ Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials ⋮ Note on the Euler \(q\)-zeta functions ⋮ On the values of the weighted \(q\)-zeta and \(L\)-functions ⋮ Some new identities on the Bernoulli and Euler numbers ⋮ On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮ Some identities of type \(2 q\)-Bernoulli polynomials ⋮ A note on the \(q\)-Euler measures ⋮ A note on Hölder type inequality for the fermionic \(p\)-adic invariant \(q\)-integral ⋮ On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials ⋮ Analytic continuation of Euler polynomials and the Euler zeta function ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮ Zeros of analytic continued \(q\)-Euler polynomials and \(q\)-Euler zeta function ⋮ Identities involving Laguerre polynomials derived from umbral calculus ⋮ Some approximations with Hurwitz zeta function