A new \(q\)-analogue of Bernoulli polynomials associated with \(p\)-adic \(q\)-integrals

DOI10.1155/2008/295307zbMath1217.11116OpenAlexW2013358671WikidataQ58644309 ScholiaQ58644309MaRDI QIDQ949057

Lee-Chae Jang

Publication date: 16 October 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/295307

zbMATH Keywords

\(p\)-adic \(q\)-integrals\(q\)-analogue of Bernoulli polynomialsHurwitz-type \(q\)-zeta functions

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 (2)

\((\rho,q)\)-Volkenborn integration ⋮ A note on some properties of the weighted \(q\)-Genocchi numbers and polynomials

Cites Work

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• \(q\)-Volkenborn integration
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• On \(p\)-adic \(q\)-\(L\)-functions and sums of powers
• An extension of \(q\)-zeta function
• An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
• \(q\)-Bernoulli numbers and polynomials
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS

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