New approach to \(q\)-Euler numbers and polynomials

DOI10.1155/2010/431436zbMath1246.11050OpenAlexW2073803111WikidataQ59249908 ScholiaQ59249908MaRDI QIDQ978543

Young-Hee Kim, Taekyun Kim, Lee-Chae Jang, Seong-Hoon Rim

Publication date: 25 June 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/431436

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) Zeta functions and (L)-functions (11S40)

Related Items

On Carlitz's type \(q\)-Euler numbers associated with the fermionic \(P\)-adic integral on \(\mathbb Z_p\)

Cites Work

• On the \(q\)-extension of Euler and Genocchi numbers
• \(q\)-generalized Euler numbers and polynomials
• A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
• Note on the Euler \(q\)-zeta functions
• \(q\)-extension of the Euler formula and trigonometric functions
• On the multiple \(q\)-Genocchi and Euler numbers
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• \(q\)-Bernoulli numbers and polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• q-Euler numbers and polynomials associated with p-adic q-integrals
• q-Bernoulli and Eulerian Numbers
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