\(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems

DOI10.1155/2012/169348zbMath1253.11027OpenAlexW2161970208WikidataQ58700364 ScholiaQ58700364MaRDI QIDQ714212

Nazim Idris Mahmudov

Publication date: 19 October 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/169348

zbMATH Keywords

generalized Bernoulli polynomials\(q\)-integers\(q\)-analogue of the Srivastava-Pintér addition theoremgeneralized Genocchi polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (10)

An identity in commutative rings with unity with applications to various sums of powers ⋮ On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials ⋮ On a class of \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ Some identities on the generalized \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ Unnamed Item ⋮ Apostol type \((p,q)\)-Frobenius-Eulerian polynomials and numbers ⋮ New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials ⋮ Unified (p,q)-analog of Aspostol type polynomials of order α ⋮ On the generalized q-poly-Euler polynomials of the second kind

Cites Work

• Carlitz's \(q\)-Bernoulli and \(q\)-Euler numbers and polynomials and a class of generalized \(q\)-Hurwitz zeta functions
• On the \(q\)-extension of Euler and Genocchi numbers
• Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function
• \(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• A note on the \(q\)-Genocchi numbers and polynomials
• \(q\)-Bernoulli numbers and polynomials
• q-EXTENSIONS OF GENOCCHI NUMBERS

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