  We develop a method for evaluating asymptotics of certain contour integrals
that appear in Conformal Field Theory under the name of Dotsenko-Fateev
integrals and which are natural generalizations of the classical hypergeometric
functions. We illustrate the method by establishing a number of estimates that
are useful in the context of martingale observables for multiple
Schramm-Loewner evolution processes.
