Note on \(q\)-extensions of Euler numbers and polynomials of higher order

DOI10.1155/2008/371295zbMath1195.11030arXiv0710.5810OpenAlexW2007817412WikidataQ59214591 ScholiaQ59214591MaRDI QIDQ938413

Lee-Chae Jang, Taekyun Kim, Cheon Seoung Ryoo

Publication date: 19 August 2008

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

Full work available at URL: https://arxiv.org/abs/0710.5810

zbMATH Keywords

Euler polynomials\(q\)-Euler zeta functions\(q\)-extension of Euler numbers

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 (9)

A new approach to \(q\)-Genocchi numbers and their interpolation functions ⋮ Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications ⋮ Multivariate \(p\)-adic fermionic \(q\)-integral on \(\mathbb Z_{p}\) and related multiple zeta-type functions ⋮ On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications ⋮ On multiple twisted \(p\)-adic \(q\)-Euler \(\zeta\)-functions and \(l\)-functions ⋮ Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications ⋮ On the generalized Hyers-Ulam stability of module left \((m,n)\)-derivations ⋮ On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮ Unnamed Item

Cites Work

• Multiple \(p\)-adic \(L\)-function
• \(q\)-generalized Euler numbers and polynomials
• A note on \(q\)-Bernoulli numbers and polynomials
• Some relationships between the analogs of Euler numbers and polynomials
• A note on Euler number and polynomials
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES

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