On the \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)

DOI10.1155/2011/392025zbMath1246.11046OpenAlexW2137855208WikidataQ58654195 ScholiaQ58654195MaRDI QIDQ642704

Taekyun Kim, Jongsung Choi

Publication date: 27 October 2011

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

Full work available at URL: https://doi.org/10.1155/2011/392025

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

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• \(q\)-Bernstein polynomials associated with \(q\)-Stirling numbers and Carlitz's \(q\)-Bernoulli numbers
• \(q\)-Volkenborn integration
• Expansions of \(q\)-Bernoulli numbers
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• \(q\)-Bernoulli numbers and polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• On the weighted q-Bernoulli numbers and polynomials
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions

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