Some formulae for the \(q\)-Bernoulli and Euler polynomials of higher order

DOI10.1016/S0022-247X(02)00203-2zbMath1008.11005MaRDI QIDQ1856832

Taekyun Kim

Publication date: 11 February 2003

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

zbMATH Keywords

\(q\)-Bernoulli numbers\(q\)-Euler numbersVolkenborn integral

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Zeta functions and (L)-functions (11S40)

Related Items (7)

On the von Staudt-Clausen theorem for \(q\)-Euler numbers ⋮ On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ A note on the multiple twisted Carlitz's type \(q\)-Bernoulli polynomials ⋮ Some identities on the generalized \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ A note on \(q\)-Euler numbers associated with the basic \(q\)-zeta function ⋮ Some identities for Carlitz type \(q\)-Daehee polynomials

Cites Work

• Unnamed Item
• A note on \(q\)-Euler and Genocchi numbers
• An explicit formula for the generalized Bernoulli polynomials
• Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Sums of products of \(q\)-Bernoulli numbers

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