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Bernoulli Numbers and Polynomials
1976The oldest distribution is that defined by the Bernoulli polynomials, although of course their classical recurrence property was not called by that name.
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The Value of Bernoulli Polynomials at Rational Numbers
Bulletin of the London Mathematical Society, 1993For \(n\geq 1\), let \(B_ n(t)\) denote the \(n\)-th Bernoulli polynomial. \textit{G. Almkvist} and \textit{A. Meurman} [C. R. Math. Acad. Sci., Soc. R. Can. 13, No. 2/3, 104-108 (1991; Zbl 0731.11014)] proved that \(B_ n(h/k)- B_ n(0)\in (1/k^ n)\mathbb{Z}\) whenever \(h\) and \(k\) are positive integers. The author proves this in a shorter way.
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Identities for the Bernoulli and Euler numbers and polynomials.
Ars Comb., 2012Summary: In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb Z_p\).
Taekyun Kim 0001 +3 more
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A Primer on Bernoulli Numbers and Polynomials
Mathematics Magazine, 2008(2008). A Primer on Bernoulli Numbers and Polynomials. Mathematics Magazine: Vol. 81, No. 3, pp. 178-190.
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A Symmetry of Power Sum Polynomials and Bernoulli Numbers
The American Mathematical Monthly, 2001(2001). A Symmetry of Power Sum Polynomials and Bernoulli Numbers. The American Mathematical Monthly: Vol. 108, No. 3, pp. 258-261.
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Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023Shahid Ahmad Wani +2 more
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Remarks on some relationships between the Bernoulli and Euler polynomials
Applied Mathematics Letters, 2004Àkos Pintér
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An identity of symmetry for the Bernoulli polynomials
Discrete Mathematics, 2008Sheng-Liang Yang
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