Results in Mathematics

, Volume 58, Issue 3–4, pp 329–335

A New Formula for the Bernoulli Polynomials



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.

Mathematics Subject Classification (2010)



Stirling numbers r-Stirling numbers Whitney numbers Bernoulli polynomials Harmonic numbers Stirling-type pairs Hyperharmonic numbers Harmonic polynomials 


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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of Applied Mathematics and Probability Theory, Faculty of InformaticsUniversity of DebrecenDebrecenHungary

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