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docs/src/index.md

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```@docs
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_₁F₁
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```
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```@docs
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_₂F₁
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```@docs
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_₃F₂
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## Internals
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```@docs
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HypergeometricFunctions.M
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```
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```@docs
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HypergeometricFunctions.U
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```
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```@docs
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HypergeometricFunctions._₂F₁positive
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```
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```@docs
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HypergeometricFunctions._₂F₁general
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```
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```@docs
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HypergeometricFunctions._₂F₁general2
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```
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```@docs
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HypergeometricFunctions.pFqcontinuedfraction
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```
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```@docs
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HypergeometricFunctions.pochhammer
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```
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```@docs
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HypergeometricFunctions.@clenshaw
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```@docs
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HypergeometricFunctions.@lanczosratio
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```
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```@docs
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HypergeometricFunctions.G
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```@docs
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HypergeometricFunctions.P
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src/specialfunctions.jl

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"""
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@lanczosratio(z, ϵ, c₀, c...)
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Evaluate ``\\dfrac{\\sum_{k=0}^{N-1} \\frac{c[k+1]}{(z+k)(z+k+\\epsilon)}}{c\_0 + \\sum_{k=0}^{N-1} \\frac{c[k+1]}{z+k}}`.
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Evaluate ``\\dfrac{\\sum_{k=0}^{N-1} \\frac{c[k+1]}{(z+k)(z+k+\\epsilon)}}{c_0 + \\sum_{k=0}^{N-1} \\frac{c[k+1]}{z+k}}`.
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This ratio is used in the Lanczos approximation of ``\\log\\frac{\\Gamma(z+\\epsilon)}{\\Gamma(z)}`` in
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