  This paper is a study of power series, where the coefficients are binomial
expressions (iterated finite differences). Our results can be used for series
summation, for series transformation, or for asymptotic expansions involving
Stirling numbers of the second kind. In certain cases we obtain asymptotic
expansions involving Bernoulli polynomials, poly-Bernoulli polynomials, or
Euler polynomials. We also discuss connections to Euler series transformations
and other series transformation formulas.
