an:06693853
Zbl 1357.26008
Boyadzhiev, Khristo N.
A note on the higher derivatives of the function \(1/(\exp(x)-1)\)
EN
Adv. Appl. Discrete Math. 17, No. 4, 461-466 (2016).
0974-1658
2016
j
26A24 11B68 33B10
higher derivatives; Stirling numbers of the second kind; Bernoulli numbers; Riemann's zeta function; geometric polynomials
Summary: In this brief 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.