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A note on the higher derivatives of the function 1/(exp(x) - 1)

General Mathematics 2016-12-14 v1

Abstract

In this note we compare two formulas for the higher order derivatives of the function 1/(exp(x) -1). We also provide an integral representation for these derivatives and obtain a classical formula relating zeta values and Bernoulli numbers.

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Cite

@article{arxiv.1612.04365,
  title  = {A note on the higher derivatives of the function 1/(exp(x) - 1)},
  author = {Khristo N. Boyadzhiev},
  journal= {arXiv preprint arXiv:1612.04365},
  year   = {2016}
}

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5 pages