New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials

DOI10.1186/1687-1847-2014-5zbMath1343.05013OpenAlexW2161116277WikidataQ59319604 ScholiaQ59319604MaRDI QIDQ738343

Veli Kurt

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-5

zbMATH Keywords

generating functionBernoulli numbersBernoulli polynomialsgeneralized Bernoulli polynomialsGenocchi polynomials\(q\)-Bernoulli polynomialsgeneralized Genocchi polynomials\( q\)-Genocchi polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Set functions, measures and integrals with values in abstract spaces (28B99)

Related Items (3)

On a class of \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ On the generalized q-poly-Euler polynomials of the second kind ⋮ On generalized q-poly-Bernoulli numbers and polynomials

Cites Work

• \(q\)-extensions of some relationships between the Bernoulli and Euler polynomials
• A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem
• \(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems
• Expansions of \(q\)-Bernoulli numbers
• Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials
• Some results for the \(q\)-Bernoulli and \(q\)-Euler polynomials
• A note on the Bernoulli and Euler polynomials
• On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.

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