New construction of weighted \((h, q)\)-Genocchi numbers and polynomials related to zeta type functions

DOI10.1155/2011/487490zbMath1284.11035OpenAlexW2167488439WikidataQ58655490 ScholiaQ58655490MaRDI QIDQ659520

Juan-Miguel Gracia

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/487490

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41)

Related Items (9)

Extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials ⋮ On the \(q\)-Euler numbers and polynomials with weight 0 ⋮ Novel identities for \(q\)-Genocchi numbers and polynomials ⋮ Identities of symmetry for higher-order generalized \(q\)-Euler polynomials ⋮ Some identities on the \(q\)-Bernoulli numbers and polynomials with weight \(0\) ⋮ A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials ⋮ On the Dirichlet's type of Eulerian polynomials ⋮ On weighted \(q\)-Daehee polynomials with their applications ⋮ Unnamed Item

Cites Work

• Unnamed Item
• New approach to \(q\)-Euler polynomials of higher order
• On \(p\)-adic analogue of \(q\)-Bernstein polynomials and related integrals
• A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials
• \(q\)-Volkenborn integration
• On the \(q\)-extension of Euler and Genocchi numbers
• A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
• On the multiple \(q\)-Genocchi and Euler numbers
• New Changhee \(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals
• An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
• A note on the \(q\)-Genocchi numbers and polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• On the weighted q-Bernoulli numbers and polynomials

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