Fox–Wright Psi function (Φ function) in Julia. (Not to be confused with Wright Omega function)
Here, we use the notation in by Professor Yuri Luchko which is using Mainardi's notation.
The equation:
While the Mittag Leffler function can be expressed by the Wright function:
The Wright function and its numerical evaluation. Y.F. Luchko, J.J. Trujillo, M.P. Velasco January 2010International Journal of Pure and Applied Mathematics 64(4):567-575