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A New Formula for the Bernoulli Polynomials

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Abstract

In this note we show that a seemingly new class of Stirling-type pairs can be applied to produce a new representation of the Bernoulli polynomials at positive rational arguments. A class of generalized harmonic numbers is also investigated, and we point out that these give a new relation for the so-called harmonic polynomials.

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Correspondence to István Mező.

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Mező, I. A New Formula for the Bernoulli Polynomials. Results. Math. 58, 329–335 (2010). https://doi.org/10.1007/s00025-010-0039-z

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  • DOI: https://doi.org/10.1007/s00025-010-0039-z

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