A note on some properties of the weighted \(q\)-Genocchi numbers and polynomials

DOI10.1155/2011/609054zbMath1241.11018DBLPjournals/jam/Jang11aOpenAlexW2094608242WikidataQ58690468 ScholiaQ58690468MaRDI QIDQ410806

Lee-Chae Jang

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/609054

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• New approach to \(q\)-Euler polynomials of higher order
• \(q\)-Bernstein polynomials associated with \(q\)-Stirling numbers and Carlitz's \(q\)-Bernoulli numbers
• On multiple generalized \(w\)-Genocchi polynomials and their applications
• \(q\)-Volkenborn integration
• On the \(q\)-extension of Euler and Genocchi numbers
• \(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\)
• A new \(q\)-analogue of Bernoulli polynomials associated with \(p\)-adic \(q\)-integrals
• Some identities of the Frobenius-Euler polynomials
• A note on the modified \(q\)-Bernstein polynomials
• \(q\)-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 \(\mathbb Z_p\)
• On the weighted q-Bernoulli numbers and polynomials
• Barnes-type multipleq-zeta functions andq-Euler polynomials
• Reflection Symmetries of q-Bernoulli Polynomials

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