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