Identities Involving Bernoulli Numbers,Stirling Numbers and Eulerian Numbers
Sums of powers of integers can be expressed in specific expressions with Bernoulli numbers,two kinds of Stirling numbers and Eulerian numbers.By expanding the combinatorial in the latter two formulae with the first kind Stirling numbers and comparing the coefficients of the powers of n,some identities are obtained in-volving the Bernoulli numbers,Stirling numbers and Eulerian numbers.
sums of powers of integersBernoulli numbersStirling numbers of the first kindStirling num-bers of the second kindEulerian numbers