On \((i,q)\) Bernoulli and Euler numbers

DOI10.1016/j.aml.2007.08.001zbMath1152.11008OpenAlexW2081325706MaRDI QIDQ998574

Mehmet Cenkci, Yilmaz Simsek, Seong-Hoon Rim, Veli Kurt

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.08.001

zbMATH Keywords

\(p\)-adic \(q\)-integralBernoulli and Euler numbers

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) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

\(q\)-Apostol-Euler polynomials and \(q\)-alternating sums ⋮ On \(p\)-adic analogue of \(q\)-Bernstein polynomials and related integrals ⋮ On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) ⋮ On a class of \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ Multiple analogues of binomial coefficients and families of related special numbers ⋮ Some identities on the generalized \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ Symmetry identities of \(q\)-Bernoulli polynomials of the second kind

Cites Work

• \(q\)-Volkenborn integration
• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• On the \(q\)-extension of Euler and Genocchi numbers
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
• On \(p\)-adic \(q\)-\(l\)-functions and sums of powers
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• On the twisted \(q\)-Euler numbers and polynomials associated with basic \(q-l\)-functions
• Eulerian Numbers and Polynomials
• q-Euler numbers and polynomials associated with p-adic q-integrals
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
• q-Bernoulli and Eulerian Numbers
• Unnamed Item
• Unnamed Item