Some identities on the higher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\)

DOI10.1186/1687-1847-2012-21zbMath1277.11021OpenAlexW2107656247WikidataQ59271165 ScholiaQ59271165MaRDI QIDQ387282

Nam-Soon Jung, Jung-Yoog Kang, Cheon Seoung Ryoo, Hui-Young Lee

Publication date: 20 December 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-21

zbMATH Keywords

Euler numbers and polynomials\(q\)-Euler numbers and polynomialshigher-order-twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\)

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) Zeta functions and (L)-functions (11S40)

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Cites Work

• On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
• \(q\)-Volkenborn integration
• On the symmetric properties of higher-order twisted \(q\)-Euler numbers and polynomials
• Note on the Euler \(q\)-zeta functions
• A note on Nörlund-type twisted \(q\)-Euler polynomials and numbers of higher order associated with fermionic invariant \(q\)-integrals
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Barnes-type multipleq-zeta functions andq-Euler polynomials
• q-Euler numbers and polynomials associated with p-adic q-integrals
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