Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\)

DOI10.1155/2011/123483zbMath1232.11029OpenAlexW2053179651WikidataQ58653804 ScholiaQ58653804MaRDI QIDQ657096

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

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/123483

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) 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 (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new approach to \(q\)-Genocchi numbers and their interpolation functions
• On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
• Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
• \(q\)-Volkenborn integration
• A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
• A note on the modified \(q\)-Bernstein polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
• Note on the Euler Numbers and Polynomials
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials

This page was built for publication: Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\)