An Explicit Formula for Bernoulli Numbers in Terms of Stirling Numbers of the Second Kind

51 citations recorded by the source corpus.

In the paper, the authors recover an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations (2019, background): “For more information on the Bell numbers Bn = Bn(1), the Bell polynomials Bn(x), and the Stirling numbers of the second kind S(n, k), please refer to [5, 6, 7, 11, 12, 18] and closely-related references therein.”
Two closed forms for the Bernoulli polynomials (2015, result): “2 generalize those corresponding results obtained in [4, 6, 10, 19].”
Several formulas for special values of the Bell polynomials of the second kind and applications (2017, background): “, xn−k+1) were discovered, recovered, and applied in [4, 6, 19,22,30,37] and references cited therein.”