how many terms uses the function hypergeom

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Rafael Schwarzenegger 2019-6-9

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https://ww2.mathworks.cn/matlabcentral/answers/466199-how-many-terms-uses-the-function-hypergeom

评论： Rafael Schwarzenegger 2019-6-10

在 MATLAB Online 中打开

If we use the matlab build in function

hypergeom(N,D,z)

which is a infitite sum

hypergeom(N,D,z) = sum(k=0:inf, (C(N,k)/C(D,k))*z^k/k!)

How many terms are used? I.e. what is

inf

Thank you very much for any suggestions!

Best,

Rafael

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Walter Roberson 2019-6-10

在 MATLAB Online 中打开

At the MATLAB command prompt give the command

mupad

MATLAB will whine and try to convince you to use LiveScript instead. Do not let it use LiveScript: tell it to go ahead and open a MuPAD notebook.

Once the MuPAD notebook has opened, and you are at the [ prompt, type in the command

expose(hypergeom)

You will see that there are a couple of hundred lines of code, and that there are dozens of special cases that are handled, including some cases where the calculations is built up recursively. We cannot really talk about the error analysis unless we know which case is being invoked.

Rafael Schwarzenegger 2019-6-10