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  "body": "\n## Summary\n\nThe Fox–Wright function ${}_p\\Psi_q$ is a power series whose coefficients are ratios of products of values $\\Gamma(a + A n)$.\nHere $\\Gamma$ is the [[gamma function|0H5SYBSED9]] and the scale factors $A$ are positive.\nWhen all scale factors equal $1$ it reduces to a [[generalized hypergeometric function|VDBAW9PN88]], up to a constant factor.\nIt contains the [[Mittag-Leffler function|12G9M694YG]] and the Wright function as special cases, and it is a special case of the [[Fox H-function|EAZMKENA4N]].\n\n## Explanations\n\n### L1 human\n\nIn a hypergeometric series, the $n$-th coefficient is built from rising factorials such as $a(a+1)\\cdots(a+n-1) = \\Gamma(a+n)/\\Gamma(a)$.\nThe Fox–Wright function allows $\\Gamma(a + An)$ instead, so the argument of the gamma function may grow at any positive speed $A$.\nThis one extra parameter per factor covers many functions of fractional calculus.\nFor example, one numerator factor $\\Gamma(1 + n)$ and one denominator factor $\\Gamma(\\beta + \\alpha n)$ give the Mittag-Leffler function $\\sum z^n / \\Gamma(\\alpha n + \\beta)$.\n",
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