  The Wright function, which arises in the theory of the space-time fractional
diffusion equation, is an interesting mathematical object which has diverse
connections with other special and elementary functions. The Wright function
provides a unified treatment of several classes of special functions, such as
the Gaussian, Airy, Bessel, and Error functions, etc. The manuscript
demonstrates an algorithm for symbolical representation in terms of finite sums
of hypergeometric (HG) functions and polynomials. The HG functions are then
represented by known elementary or other special functions, wherever possible.
The algorithm is programmed in the open-source computer algebra system Maxima
and can be used to for testing numerical algorithms for the evaluation of the
Wright function.
