Lambert W-function
A relation of the Fox H-Function to the -1 branch of the Lambert W-function is given by
where
is the complex conjugate of
.[1]
Meijer G-function
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 :[2]
![{\displaystyle H_{p,q}^{\,m,n}\!\left[z\left|{\begin{matrix}(a_{1},C)&(a_{2},C)&\ldots &(a_{p},C)\\(b_{1},C)&(b_{2},C)&\ldots &(b_{q},C)\end{matrix}}\right.\right]={\frac {1}{C}}G_{p,q}^{\,m,n}\!\left(\left.{\begin{matrix}a_{1},\dots ,a_{p}\\b_{1},\dots ,b_{q}\end{matrix}}\;\right|\,z^{1/C}\right).}](//wikimedia.org/api/rest_v1/media/math/render/svg/8a258456f0dee32c310e13948bff8e3c8f4bb2de)
A generalization of the Fox H-function was given by Ram Kishore Saxena.[3][4] A further generalization of this function, useful in physics and statistics, was provided by A.M. Mathai and Ram Kishore Saxena.[5][6]