TITLE: How are Fox-H functions useful in math?
QUESTION [16 upvotes]: The Fox H-function, as far as I know, is the most general families of functions - encompassing an even larger family of functions than the already very general Meijer G-function. While I've known about these functions for a while, I've never seen a good use of them - are they just generalizations for generalizations sake? Is there ever a time when the use of these functions has given insight into a problem that other assumptions (smooth, continuous, etc.) could not? What fields are they most used in?

REPLY [8 votes]: This link http://www.dtic.mil/dtic/tr/fulltext/u2/a252517.pdf   is a PhD-thesis using H-function in the study of statistical distributions.  There are other papers with applications in this area, such as
The Distribution of Products, Quotients and Powers of Independent H-Function Variates
by  Bradley D. Carter and Melvin D. Springer
SIAM J. Appl. Math., 33(4), 542–558. (17 pages)
Read More: http://epubs.siam.org/doi/abs/10.1137/0133036
Search in google scholar will give you more papers in this area.
Read More: http://epubs.siam.org/doi/abs/10.1137/0133036