Results in Mathematics
Stieltjes transform, Stieltjes integrals
The Incomplete Beta Function is rewritten as a Hypergeometric Function that is the analytic continuation of the conventional form, a generalization of the finite series, which simpifies the Stieltjes transform of powers of a monomial divided by powers of a binomial.
Straton, Jack C., "Analytically Continued Hypergeometric Expression of the Incomplete Beta Function" (2002). Physics Faculty Publications and Presentations. 248.