Define SpecialFunctions.gamma_inc
for ForwardDiff.Dual
#587
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This PR adds a definition of
SpecialFunctions.gamma_inc(::Real, ::Dual, ::Integer)
.Similar to
logabsgamma
(added in #585) this function returns a tuple and hence is not handled by DiffRules.As in the CR definitions in SpecialFunctions, only the derivatives with respect to the second argument are defined since derivatives wrt to the first argument are given in terms of (regularized) hypergeometric functions and hence would require additional dependencies (see JuliaMath/SpecialFunctions.jl#317). The third argument indicates the desired accuracy, and hence the function is not differentiable wrt to the third argument anyway.