JuliaMath / JuliaMath/SpecialFunctions.jl

`beta_inv` and `beta_inv_inc` gradients.

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Description

In this repo : https://github.com/arzwa/IncBetaDer, @arzwa implemented a fews years ago the necessary gradients for `beta_inv` and `beta_inv_inc`. Defended on [this discourse](https://discourse.julialang.org/t/differentiation-of-incomplete-beta-function/49675/2), required on [this one](https://discourse.julialang.org/t/gaussian-copula-priors-in-turing-auto-differentiation-error-with-beta-quantile-function/132779/5) but also to allow fitting multivariate students in `Distributions.jl`, I think that these derivatives should definitely be part of SpecialFunctions's Chain rule extension.

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