  We consider the numerical evaluation of one dimensional projections of
general multivariate stable densities introduced by Abdul-Hamid and Nolan
(1998). In their approach higher order derivatives of one dimensional densities
are used, which seem to be cumbersome in practice. Furthermore there are some
difficulties for even dimensions. In order to overcome these difficulties we
obtain the explicit finite-interval integral representation of one dimensional
projections for all dimensions. For this purpose we utilize the imaginary part
of complex integration, whose real part corresponds to the derivative of the
one dimensional inversion formula. We also give summaries on relations between
various parameterizations of stable multivariate density and its one
dimensional projection.
