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

Ada; Khristo N. Boyadzhiev (Department of Mathematics; OH); Ohio Northern University; Statistics

arxiv: 1612.04365 · v1 · pith:SRRIFIVJnew · submitted 2016-12-09 · 🧮 math.GM

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

Khristo N. Boyadzhiev (Department of Mathematics , Statistics , Ohio Northern University , Ada , OH) This is my paper

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keywords derivativesfunctionhighernotebernoulliclassicalcompareformula

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

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