Arithmetic identities involving Bernoulli and Euler numbers

DOI10.1155/2012/689797zbMath1257.11021OpenAlexW2033723247WikidataQ58704975 ScholiaQ58704975MaRDI QIDQ5917849

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Publication date: 18 December 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/689797

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)

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New identities involving Bernoulli, Euler and Genocchi numbers

Cites Work

• Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\)
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials
• \(q\)-Volkenborn integration
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Some arithmetic properties of generalized Bernoulli numbers
• Note on the Integral of the Product of Several Bernoulli Polynomials
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