Some identities of the Frobenius-Euler polynomials

DOI10.1155/2009/639439zbMath1246.11052OpenAlexW2058709215WikidataQ58646641 ScholiaQ58646641MaRDI QIDQ1030650

Byungje Lee, Taekyun Kim

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1155/2009/639439

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 (7)

Truncated-exponential-based Frobenius-Euler polynomials ⋮ New formulae of products of the Frobenius-Euler polynomials ⋮ Frobenius-Euler polynomials and umbral calculus in the \(p\)-adic case ⋮ A note on some properties of the weighted \(q\)-Genocchi numbers and polynomials ⋮ Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials ⋮ Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation ⋮ Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials

Cites Work

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• \(q\)-Volkenborn integration
• Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
• Power series and asymptotic series associated with the \(q\)-analog of the two-variable \(p\)-adic \(L\)-function
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• Euler numbers and polynomials associated with zeta functions
• \(q\)-extension of the Euler formula and trigonometric functions
• \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series
• On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives
• q-Euler numbers and polynomials associated with p-adic q-integrals
• Reflection Symmetries of q-Bernoulli Polynomials
• A note on p-adic q-integrals associated with q-Euler numbers

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