On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α

DOI10.7153/jca-02-04zbMath1415.11039arXiv1201.5490OpenAlexW1510226418MaRDI QIDQ3120686

Mehmet Acikgoz, Serkan Araci, Hassan Jolany

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5490

zbMATH Keywords

Euler numbers and polynomials\(q\)-Euler numbers and polynomialsmodified Dirichlet type twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\)modified twisted \(q\)-Euler numbers and polynomials with weight \(\alpha\)

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

On the von Staudt-Clausen's theorem associated with \(q\)-Genocchi numbers ⋮ On the modified \(q\)-Euler polynomials with weight

Cites Work

• New approach to \(q\)-Euler polynomials of higher order
• A note on the modified \(q\)-Bernoulli numbers and polynomials with weight \(\alpha\)
• Explicit formulas involving \(q\)-Euler numbers and polynomials
• \(q\)-Volkenborn integration
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• On multiple twisted \(p\)-adic \(q\)-Euler \(\zeta\)-functions and \(l\)-functions
• Generating functions of the \((h,q)\) extension of twisted Euler polynomials and numbers
• A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers
• \(Q\)-Dirichlet type \(L\)-functions with weight \(\alpha\)
• An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
• A note on the \((h,q)\)-zeta-type function with weight \({\alpha}\)
• On the twisted \(q\)-Euler numbers and polynomials associated with basic \(q-l\)-functions
• q-Euler numbers and polynomials associated with p-adic q-integrals
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