Some relationships between the analogs of Euler numbers and polynomials

DOI10.1155/2007/86052zbMath1188.11006OpenAlexW2034285680WikidataQ59213314 ScholiaQ59213314MaRDI QIDQ2471949

Taekyun Kim, Cheon Seoung Ryoo, Lee-Chae Jang

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116936

zbMATH Keywords

generating functionstwisted Euler polynomialscomplex roots of twisted \(q\)-Euler polynomialstwisted Dirichlet \(l\)-Euler numberstwisted Euler numberstwisted Euler polynomials at non-positive integerstwisted Euler zeta functiontwisted Hurwitz zeta function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Zeta functions and (L)-functions (11S40)

Related Items (7)

Generalized \((q, w)\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) ⋮ Some relations of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) ⋮ On the \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) ⋮ Generalized \(w\)-Euler numbers and polynomials ⋮ Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers ⋮ Note on \(q\)-extensions of Euler numbers and polynomials of higher order ⋮ A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials

Cites Work

• \(q\)-Volkenborn integration
• A numerical computation of the structure of the roots of \(q\)-Bernoulli polynomials
• Exploring the \(q\)-Riemann zeta function and \(q\)-Bernoulli polynomials
• 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
• A numerical investigation of the roots ofq-polynomials
• A note on generalized Euler numbers and polynomials
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