Some identities on the twisted \((h,q)\)-Genocchi numbers and polynomials associated with \(q\)-Bernstein polynomials
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Publication:763026
DOI10.1155/2011/482840zbMath1235.33015OpenAlexW2059114433WikidataQ58687822 ScholiaQ58687822MaRDI QIDQ763026
Publication date: 8 March 2012
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/482840
Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items (4)
Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\) ⋮ A note on Eulerian polynomials ⋮ Umbral calculus associated with Bernoulli polynomials ⋮ Some identities on Bernoulli and Hermite polynomials associated with Jacobi polynomials
Cites Work
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- A note on \(q\)-Bernstein polynomials
- A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials
- Genocchi polynomials associated with the umbral algebra
- \(q\)-Volkenborn integration
- \(q\)-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 multiple \(q\)-Genocchi and Euler numbers
- Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
- Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
- Some new identities on the twisted (h, q)- Euler numbers and q-Bernstein polynomials
- A note on p-adic q-integrals associated with q-Euler numbers
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