New Identities with Stirling, Hyperharmonic and Derangement Numbers, Bernoulli and Euler Polynomials, Powers and Factorials

摘要

We present a number of identities in the form of Stirling transforms. These identities involve Stirling numbers of the first and second kinds, hyperharmonic and derangement numbers, Bernoulli and Euler numbers and polynomials, powers, power sums, and factorials.