  We discuss the method of conformal mappings applied to perturbative QCD. The
approach is based on the Borel-Laplace integral regulated with the principal
value prescription and the expansion of the Borel transform in powers of the
variable which performs the conformal mapping of the cut Borel plane onto the
unit disk. We write down the expression of the conformal mapping for the most
general location of the singularities of the Borel transform and review the
properties of the corresponding expansions of the correlators. Unlike the
standard perturbative expansions, which are divergent, the modified expansions
have a tamed behaviour at large orders and may even converge under some
conditions. On the other hand, the expansion functions exhibit nonperturbative
features similar to those of the expanded function. Using these properties, it
was suggested recently that the expansions based on the conformal mapping of
the Borel plane may provide an alternative to the standard OPE. We briefly
review the arguments in favour of this conjecture and discuss the application
of the method to the Adler function for massless quarks and the static quark
self-energy calculated in lattice QCD.
