Some properties and identities of Bernoulli and Euler polynomials associated with \(p\)-adic integral on \(\mathbb Z_p\)

DOI10.1155/2012/847901zbMath1277.11017OpenAlexW2077222120WikidataQ58696940 ScholiaQ58696940MaRDI QIDQ417204

J. Herrera, H. S. Yoon

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1155/2012/847901

zbMATH Keywords

\(p\)-adic integralidentities of Bernoulli and Euler polynomials

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)

Related Items (1)

Arithmetic identities involving Bernoulli and Euler numbers

Cites Work

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• Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials
• \(q\)-Volkenborn integration
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\)
• 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
• SOME NEW PROPERTIES ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN POLYNOMIALS

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