Iaroslav V. Blagouchine
Published 2016-12-10Version 1
In a recent issue of the Bulletin of the Korean Mathematical Society, Qi and Zhang discovered an interesting integral representation for the Bernoulli numbers of the second kind (these numbers are also known as Gregory's coefficients, Cauchy numbers of the first kind and reciprocal logarithmic numbers). In this short communication it is shown that this representation is a rediscovery of an old result obtained in the XIXth century by Ernst Schroder. It is also demonstrated that the same integral representation may be readily derived by means of the complex integration.
Sums of Products of Bernoulli numbers of the second kind
Fleck quotients and Bernoulli numbers
$q$-analogues of sums of consecutive powers of natural numbers and extended Carlitz $q$-Bernoulli numbers and polynomials
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