On the higher-order \(q\)-Euler numbers and polynomials with weight \(\alpha\)

DOI10.1155/2011/354329zbMath1284.11041OpenAlexW2125988237WikidataQ58655461 ScholiaQ58655461MaRDI QIDQ659515

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/10.1155/2011/354329

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

Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator ⋮ Some formulae for the product of two Bernoulli and Euler polynomials ⋮ Identities involving Frobenius-Euler polynomials arising from non-linear differential equations ⋮ Integral formulae of Bernoulli polynomials

Cites Work

• Multivariate twisted \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) associated with twisted \(q\)-Bernoulli polynomials and numbers
• Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Note on the Euler \(q\)-zeta functions
• An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
• 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

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