Some identities on the \(q\)-Bernoulli numbers and polynomials with weight \(0\)

DOI10.1155/2011/361484zbMath1232.11027OpenAlexW2122888970WikidataQ58654160 ScholiaQ58654160MaRDI QIDQ657114

Juan-Miguel Gracia

Publication date: 16 January 2012

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

Full work available at URL: https://doi.org/10.1155/2011/361484

zbMATH Keywords

\(p\)-adic \(q\)-integral representation of Bernstein polynomials\(q\)-Bernoulli numbers with weight zero\(q\)-Bernoulli polynomials with weight zero

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)

Related Items (2)

Novel identities for \(q\)-Genocchi numbers and polynomials ⋮ Explicit formulas involving \(q\)-Euler numbers and polynomials

Cites Work

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• Special functions related to Dedekind-type DC-sums and their applications
• Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• \(q\)-Bernstein polynomials associated with \(q\)-Stirling numbers and Carlitz's \(q\)-Bernoulli numbers
• Construction a new generating function of Bernstein type polynomials
• A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials
• New construction of weighted \((h, q)\)-Genocchi numbers and polynomials related to zeta type functions
• \(q\)-Volkenborn integration
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• On the weighted q-Bernoulli numbers and polynomials

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