A note on Euler number and polynomials

DOI10.1155/JIA/2006/34602zbMath1091.11007OpenAlexW1994505826WikidataQ59212458 ScholiaQ59212458MaRDI QIDQ2491585

Young-Soon Ro, Dal-Won Park, Seoung-Dong Kim, Lee-Chae Jang

Publication date: 29 May 2006

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

Full work available at URL: https://eudml.org/doc/126189

zbMATH Keywords

Euler measuremultiple Euler polynomials

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 (14)

On the behavior of two variable twisted \(p\)-adic Euler \(q\)-\(l\)-functions ⋮ A note on symmetric properties of the twisted \(q\)-Bernoulli polynomials and the twisted generalized \(q\)-Bernoulli polynomials ⋮ Multiple twisted \(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals ⋮ Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers ⋮ Note on \(q\)-extensions of Euler numbers and polynomials of higher order ⋮ Complete sum of products of (h,q)-extension of Euler polynomials and numbers ⋮ A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions ⋮ Interpolation function of the \((h,q)\)-extension of twisted Euler numbers ⋮ On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮ A note on Hölder type inequality for the fermionic \(p\)-adic invariant \(q\)-integral ⋮ Sums of products of \(q\)-Euler polynomials and numbers ⋮ On the identities of symmetry for the generalized Bernoulli polynomials attached to \(\chi \) of higher order ⋮ On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials ⋮ Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\)

Cites Work

• Unnamed Item
• \(q\)-Volkenborn integration
• Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• Bernoulli numbers and polynomials via residues
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• On Euler-Barnes multiple zeta functions
• On \(p\)-adic \(q\)-\(L\)-functions and sums of powers
• \(q\)-Bernoulli numbers and polynomials
• An Invariant P -Adic Integral Associated with Daehee Numbers
• p-adicq-integrals associated with the Changhee–Barnes'q-Bernoulli polynomials

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