On Euler numbers, polynomials and related \(p\)-adic integrals
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Publication:1026883
DOI10.1016/j.jnt.2008.11.004zbMath1182.11013OpenAlexW2026210817MaRDI QIDQ1026883
Publication date: 6 July 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2008.11.004
Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta and (L)-functions: analytic theory (11M99)
Related Items (15)
Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and ($p$-adic) integral equations ⋮ New approach to twisted \(q\)-Bernoulli polynomials ⋮ Some results for the \(q\)-Bernoulli, \(q\)-Euler numbers and polynomials ⋮ ON CONGRUENCES INVOLVING EULER POLYNOMIALS AND THE QUOTIENTS OF FERMAT ⋮ New identities involving Bernoulli, Euler and Genocchi numbers ⋮ On \(p\)-adic Hurwitz-type Euler zeta functions ⋮ Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers ⋮ Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals ⋮ The \((S, \{2 \})\)-Iwasawa theory ⋮ A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials ⋮ Some identities and congruences concerning Euler numbers and polynomials ⋮ On \(p\)-adic Diamond-Euler log gamma functions ⋮ Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications ⋮ Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions
Cites Work
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- A note on \(q\)-Euler and Genocchi numbers
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- On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
- \(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions
- Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
- \(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\)
- On Genocchi numbers and polynomials
- A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
- Explicit formulas for the Bernoulli and Euler polynomials and numbers
- On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
- \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
- On congruences of Euler numbers modulo powers of two
- An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
- Vandiver's congruence for the relative class number of the \(p\)th cyclotomic field
- On Euler numbers modulo powers of two
- Some Problems Concerning Kummer's Congruences for the Euler Numbers and Polynomials
- New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
- ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
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