Fox–Wright function

Summary

The Fox–Wright function ${}_p\Psi_q$ is a power series whose coefficients are ratios of products of values $\Gamma(a + A n)$. Here $\Gamma$ is the gamma function and the scale factors $A$ are positive. When all scale factors equal $1$ it reduces to a generalized hypergeometric function, up to a constant factor. It contains the Mittag-Leffler function and the Wright function as special cases, and it is a special case of the Fox H-function.