On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals

DOI10.1142/S179304211850015XzbMath1375.05028OpenAlexW2689573657WikidataQ114071995 ScholiaQ114071995MaRDI QIDQ4595111

Ugur Duran, Mehmet Acikgoz

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304211850015x

zbMATH Keywords

\(p\)-adic number\((\rho, q)\)-calculus\(p\)-adic \(q\)-integralCarlitz's \(q\)-Euler polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Integral representations (11S23)

Related Items (4)

Unnamed Item ⋮ The Boole polynomials associated with the p-adic gamma function ⋮ On the generalized q-poly-Euler polynomials of the second kind ⋮ Radon-Nikodym theorem with respect to \((\rho,q)\)-measure on \(\mathbb Z_p\)

Cites Work

• Unnamed Item
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• \((\rho,q)\)-Volkenborn integration
• \(p\)-adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
• On Carlitz's \(q\)-Bernoulli numbers
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• \((p,q)\)-beta functions and applications in approximation
• Representations of two parameter quantum algebras and \(p,q\)-special functions
• \(q\)-Bernoulli numbers and polynomials
• A (p, q)-oscillator realization of two-parameter quantum algebras
• ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
• A note on p-adic q-integrals associated with q-Euler numbers
• (p,q)‐Generalization of Szász–Mirakyan operators

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