This paper presents novel analytic expressions for the Rice Ie−function, Ie(k, x), and the incomplete Lipschitz-Hankel Integrals (ILHIs) of the modified Bessel function of the first kind, Iem,n(a, z). Firstly, an exact infinite series and an accurate polynomial approximation are derived for the Ie(k, x) function which are valid for all values of k. Secondly, an exact closed-form expression is d...
