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I'm looking for a search engine which given the formula of function returns the name of the associated function or probability distribution, if any, up to constants.

For instance, if I input:

$$ f = k x^{k-1} e^{-x^k} $$

the engine should return a reference to the Weibull distribution. This would be useful to find out if the functions I'm studying have been already covered in literature.

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  • $\begingroup$ Unlikely to be useful for you, but whenever you can phrase (some aspect of) the mathematical object you're interested in as an integer sequence, I often find a lot of success computing a couple terms and putting them into the OEIS search engine. $\endgroup$
    – orlp
    Feb 21, 2021 at 23:18

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