The twisted \((h, q)\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\)

DOI10.1186/1029-242X-2012-67zbMath1278.11023OpenAlexW2096917589WikidataQ59270896 ScholiaQ59270896MaRDI QIDQ371014

Cheon Seoung Ryoo, Nam-Soon Jung, Jung-Yoog Kang, Hui-Young Lee

Publication date: 20 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-67

zbMATH Keywords

Genocchi numbers and polynomialstwisted \((h, q)\)-Genocchi numbers and polynomials with weight \(\alpha, q\)-Bernstein polynomials

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)

Cites Work

• Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\)
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials

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