Results in Mathematics

, Volume 58, Issue 3, pp 329–335

A New Formula for the Bernoulli Polynomials


DOI: 10.1007/s00025-010-0039-z

Cite this article as:
Mező, I. Results. Math. (2010) 58: 329. doi:10.1007/s00025-010-0039-z


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 numbersr-Stirling numbersWhitney numbersBernoulli polynomialsHarmonic numbersStirling-type pairsHyperharmonic numbersHarmonic polynomials

Copyright information

© Springer Basel AG 2010

Authors and Affiliations

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