Solution of integrals necessary to determine rainfall interstation correlation functions

Abstract

The analytic salution to the rainfall interstation correlation function depends on the salution of some integrals (STOL, 1977a). Although the salution is a straightforward application of integral calculus the structure of the integrals is rather complicated (STOL, 1977b) and need some·comments to simplify the elaborations. In this report the salution of the required integrals will be given for reference. The integrals are solved step by step. The final result is the rainfall interstation correlation function for time series. They are given too and briefly commented with respect to their specific properties