Fox H-function

In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-function introduced by CharlesFox (1961). It is defined by a Mellin–Barnes integral

where L is a certain contour separating the poles of the two factors in the numerator. Another generalization of Fox H-function is given by Innayat Hussain AA (1987). For a further generalization of this function, useful in Physics and Statistics, see Rathie (1997).