Random walk with persistence

The exact analytic result is obtained for the Fourier transform of the generating functionF(R,s)=_n=0sⁿP(R,n), whereP(R,n) is the probability density for the end-to-end distanceR inn steps of a random walk with persistence. The moments R²(n), R⁴(n), and R⁶(n) are calculated and approximate results forP(R,n) and R^–1(n) are given.