ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
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Publication:5435219
DOI10.4134/BKMS.2007.44.1.001zbMath1148.11011MaRDI QIDQ5435219
Publication date: 14 January 2008
Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)
Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)
Related Items (12)
\((\rho,q)\)-Volkenborn integration ⋮ Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications ⋮ Values of twisted Barnes zeta functions at negative integers ⋮ On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals ⋮ Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ Some symmetric identities on higher order \(q\)-Euler polynomials and multivariate fermionic \(p\)-adic \( q\)-integral on \(\mathbb Z_p\) ⋮ Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Twisted \(p\)-adic \((h,q)\)-\(L\)-functions ⋮ Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications ⋮ On Euler numbers, polynomials and related \(p\)-adic integrals ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions
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