A New Formula for the Bernoulli Polynomials

作者：Mezo Istvan^*

来源：Results in Mathematics, 2010, 58(3-4): 329-335.

DOI：10.1007/s00025-010-0039-z

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

• 出版日期2010-12