JuliaMath / JuliaMath/HypergeometricFunctions.jl

Should be doing regularised _2F1

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Description

_2F1 sucks compared to regularised _2F1 (bold F in https://dlmf.nist.gov/15.2 or `Hypergeometric2F1Regularized` in mathematica), as the regularised variant avoids the artificial polls at negative integers for `c`. We really should compute the regularised version and then define
```julia
_₂F₁(a, b, c, z) = gamma(c)*regularized_₂F₁(a, b, c, z)
```

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