On the q-Extensions of the Bernoulli and Euler Numbers, Related Identities and Lerch Zeta Function

zbMath1208.11131arXiv0901.0249MaRDI QIDQ3645754

Taekyun Kim, Young-Hee Kim, Kyung-Won Hwang

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/0901.0249

zbMATH Keywords

Bernoulli numbersEuler numbersLerch zeta function\(q\)-extensions

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)

Corrigendum to ``On the von Staudt-Clausen's theorem related to \(q\)-Frobenius-Euler numbers ⋮ On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ Special functions related to Dedekind-type DC-sums and their applications

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