Identities on the weighted \(q\)-Bernoulli numbers of higher order

DOI10.1155/2011/918364zbMath1288.11018OpenAlexW2149755362WikidataQ58655564 ScholiaQ58655564MaRDI QIDQ659559

Juan-Miguel Gracia

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/918364

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 (4)

\(Q\)-Dirichlet type \(L\)-functions with weight \(\alpha\) ⋮ On the modified \(q\)-Bernoulli numbers of higher order with weight ⋮ Explicit formulas involving \(q\)-Euler numbers and polynomials ⋮ On the families of \(q\)-Euler polynomials and their applications

Cites Work

• Special functions related to Dedekind-type DC-sums and their applications
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• \(q\)-Volkenborn integration
• Expansions of \(q\)-Bernoulli numbers
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\)
• On the weighted q-Bernoulli numbers and polynomials
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