A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)

DOI10.1155/2011/545314zbMath1232.11028OpenAlexW2117988127WikidataQ58654292 ScholiaQ58654292MaRDI QIDQ657137

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/10.1155/2011/545314

zbMATH Keywords

\(p\)-adic \(q\)-integrationmodified \(q\)-Bernoulli numbers with weightmodified \(q\)-Bernoulli polynomials with weight

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 ⋮ On the values of the weighted \(q\)-zeta and \(L\)-functions ⋮ On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α

Cites Work

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• 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
• Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
• Expansions of \(q\)-Bernoulli numbers
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• \(q\)-Bernoulli numbers and polynomials
• On the weighted q-Bernoulli numbers and polynomials
• A Note on q-Bernoulli Numbers and Polynomials

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