An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
arXiv:1401.4255
Abstract
In the note, the author discovers an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.
4 pages
References in corpus (2)
Cited by in corpus (7)
- Two closed forms for the Bernoulli polynomials
- Explicit expressions for a family of Bell polynomials and derivatives of some functions
- Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
- Diagonal recurrence relations, inequalities, and monotonicity related to Stirling numbers
- Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials
- Two closed forms for the Apostol-Bernoulli polynomials
- Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures