A note on some identities of Bernoulli numbers arising from Riemann integrals. (English) Zbl 1499.11112
Summary: In this paper, we represent the generating function of Bernoulli numbers and its reciprocal as Riemann integrals on the unit interval. From these integral representations and in an elementary way, we derive several identities involving Bernoulli numbers, Bell numbers and Stirling numbers of the first and second kinds.
MSC:
11B68 | Bernoulli and Euler numbers and polynomials |
11B73 | Bell and Stirling numbers |
11B83 | Special sequences and polynomials |