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  "body": "\n## Summary\n\nA Fox H-function transform, or H-transform, is an [[integral transform|YCK709QB06]] on $(0, \\infty)$ whose kernel is a [[Fox H-function|EAZMKENA4N]] of the product $xy$.\nThe H-function generalizes the Meijer G-function by allowing positive scaling factors in front of the variable in each gamma factor of its Mellin–Barnes integral.\nSo the H-transforms contain the [[Meijer G-function transforms|C0BCHX106R]] and, through them, the Laplace, Stieltjes and Hankel-type transforms.\nThey are a common framework for fractional calculus and for transforms with kernels of Mittag-Leffler or Wright type.\n\n## Explanations\n\n### L1 human\n\nThe Fox H-function is an even larger family of special functions than the Meijer G-function.\nIts definition is a contour integral of a ratio of gamma functions, and each gamma factor may carry its own scale.\nAn H-transform integrates a function against such a kernel.\nIf every scale equals $1$, the H-function is a G-function and the H-transform is a G-transform, for example the Laplace transform with kernel $e^{-xy}$.\n",
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