Some new identities on the \(q\)-Genocchi numbers and polynomials with weight \(\alpha\)

DOI10.5402/2011/271784zbMath1437.11031OpenAlexW2111062003WikidataQ58689155 ScholiaQ58689155MaRDI QIDQ420167

Joohee Jeong, Seong-Hoon Rim

Publication date: 21 May 2012

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

Full work available at URL: https://doi.org/10.5402/2011/271784

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Cites Work

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• A note on \(q\)-Bernstein polynomials
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
• \(q\)-Volkenborn integration
• On the \(q\)-extension of Euler and Genocchi numbers
• On 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 \(\mathbb Z_p\)
• A note on p-adic q-integrals associated with q-Euler numbers

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