The Stieltjes Transform
David Vernon Widder · Transactions of the American Mathematical Society · 1938
The notation employed in (1.4) means that f0^g(t)dt=]imf^i,fa'g(t)dt./(-«)-£(-l)"/(n,(l)--^-■ Applying Corollary 1.13 we obtain * The usual proof of this theorem can easily be extended to include Cauchy-values of Laplace integrals: f^e^'dait).