\(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions
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Publication:937548
DOI10.1155/2008/815750zbMath1140.33308OpenAlexW2006038047WikidataQ59213833 ScholiaQ59213833MaRDI QIDQ937548
Yilmaz Simsek, Daeyeoul Kim, Veli Kurt, Ismail Naci Cangul
Publication date: 15 August 2008
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2008/815750
Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Zeta functions and (L)-functions (11S40)
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Cites Work
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- A note on \(q\)-Euler and Genocchi numbers
- Power series and asymptotic series associated with the \(q\)-analog of the two-variable \(p\)-adic \(L\)-function
- \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
- On the \(q\)-extension of Euler and Genocchi numbers
- On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
- A note on \(q\)-analogues of the Dirichlet series and \(q\)-Bernoulli numbers
- \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
- \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series
- ON THE ALTERNATING SUMS OF POWERS OF CONSECUTIVE q-INTEGERS
- An invariant p-adic q-integral associated with q-Euler numbers and polynomials
- q-Euler numbers and polynomials associated with p-adic q-integrals
- ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
