Generalized \(q\)-Euler numbers and polynomials of higher order and some theoretic identities

DOI10.1155/2010/682072zbMath1222.11034OpenAlexW2132392188WikidataQ59254223 ScholiaQ59254223MaRDI QIDQ607991

Taekyun Kim, Young-Hee Kim

Publication date: 6 December 2010

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

Full work available at URL: https://eudml.org/doc/226471

zbMATH Keywords

generalized Euler numbers and 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)

Cites Work

• On the \(q\)-extension of Euler and Genocchi numbers
• \(q\)-generalized Euler numbers and polynomials
• Multiple twisted \(q\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integrals
• Euler numbers and polynomials associated with zeta functions
• On Genocchi numbers and polynomials
• On a \(p\)-adic interpolation function for the \(q\)-extension of the generalized Bernoulli polynomials and its derivative
• Note on the Euler \(q\)-zeta functions
• On the multiple \(q\)-Genocchi and Euler numbers
• A note on Hölder type inequality for the fermionic \(p\)-adic invariant \(q\)-integral
• On interpolation functions of the generalized twisted \((h,q)\)-Euler polynomials
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives
• 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
• Reflection Symmetries of q-Bernoulli Polynomials

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