Fox H-function
In mathematics, the Fox H-function H is a generalization of the Meijer G-function and the Fox–Wright function introduced by.
It is defined by a Mellin–Barnes integral
where L is a certain contour separating the poles of the two factors in the numerator. Compare to the Meijer G-function,
The special case for which the Fox H reduces to the Meijer G is Aj = Bk = C, C >; 0 for j = 1...p and k = 1...q :
A generalization of the Fox H-function is given by Innayat Hussain. For a further generalization of this function, useful in physics and statistics, see.
