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_₂F₁(-n,1.5,2.5,2) loses accuracy for large n #49

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putianyi889 opened this issue Aug 31, 2022 · 0 comments
Open

_₂F₁(-n,1.5,2.5,2) loses accuracy for large n #49

putianyi889 opened this issue Aug 31, 2022 · 0 comments

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@putianyi889
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putianyi889 commented Aug 31, 2022 •
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These two expressions should be identical,

a=[2*sqrt(2)/(n+1)*_₂F₁(1,n+2.5,n+2,-1)+(-1)^n*beta(n+1,1.5) for n=0:100]
c=[2*sqrt(2)*(-1)^n*beta(1.5,1)*_₂F₁(-n,1.5,2.5,2) for n=0:100]

But it turns out that a is more accurate:

plot(abs.([a c]), yaxis=:log, labels=["a" "c"])

image
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