  We present a new integral transform called the Generalized Borel Transform
(GBT) and show how to use it to compute some distribution functions used to
describe the statistico-mechanical behavior of macromolecules. For this
purpose, we choose the Random Flight Model (RFM) of macromolecules and show
that the application of the GBT to this model leads to the exact expression of
the polymer propagator (two-point correlation function) from which all the
statistical properties of the model can be obtained. We also discuss the
mathematical simplicity of the GBT and its applicability to polymers with other
topologies.
