binomial(x,k) for non-integer x #48124
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CI failures seem unrelated. (It would be nice to see a green CI again someday!) |
vtjnash
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Jan 22, 2023
andreasnoack
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Jan 22, 2023
DilumAluthge
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It was pointed out on discourse that
binomial(x, k)has a perfectly sensible and standard meaning for non-integerxand integerk, where it is simply a polynomial inx.Since it can be implemented in only a few lines, a naive implementation overflows, and this can only be done in Base to avoid type piracy, it seems worthwhile adding.
(For non-integer
k, a generalization requires the Gamma function and/or the beta function, which is out of scope for Base. See also #14165 and JuliaMath/SpecialFunctions.jl#282)