Fox H-function
Encyclopedia
In mathematics, the Fox H-function H(x) is a generalization of the Meijer G-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.
For further generalization of this function useful in Physics and Statistics, see a research paper by Rathie, Arjun K.
Meijer G-Function
In mathematics, the G-function was introduced by as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's...
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.
For further generalization of this function useful in Physics and Statistics, see a research paper by Rathie, Arjun K.