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  "body": "\n## Summary\n\nMittag-Leffler summation is a [[summability method|8X25Q4XYMN]] that divides the $k$-th term of a series by $\\Gamma(1 + \\alpha k)$ and lets $\\alpha$ decrease to $0$.\nHere $\\Gamma$ is the [[gamma function|0H5SYBSED9]].\nFor $\\alpha = 1$ the divided series is an exponential series, and the method is related to [[Borel summation|8DJPSYSHGJ]].\nApplied to the Taylor series of an analytic function, it sums the series in the [[Mittag-Leffler star|C21ECQ1H84]] of the function.\n\n## Explanations\n\n### L1 human\n\nDividing the $k$-th term by $\\Gamma(1 + \\alpha k)$ shrinks the late terms strongly, since the gamma function grows like a factorial.\nSo the divided series converges for many divergent series.\nAs $\\alpha$ goes to $0$, $\\Gamma(1 + \\alpha k)$ tends to $\\Gamma(1) = 1$ for each $k$, and the division disappears.\nThe Mittag-Leffler sum is the limit of the divided sums.\n",
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