New series expansions for the H-function of communication theory

The H-function of communication theory plays an important role in the error rate analysis in digital communication with the presence of additive white Gaussian noise (AWGN) and generalized multipath fading conditions. In this paper we investigate several convergent and/or asymptotic expansions of H-p(z, b, ?) for some limiting values of their variables and parameters: large values of z, large values of p, small values of ?, and values of b ? 1. We provide explicit and/or recursive algorithms for the computation of the coefficients of the expansions. Some numerical examples illustrate the accuracy of the approximations.