What is the algorithm used by Matlab for computing the Bessel function?

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I am quite curious about the algorithm behind. It is definitely not the power series expansion, right?

So, what is the trick? I cannot find it in the help file of Matlab.

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This is from the SE post I linked to in the comment; I don't know if this is the algorithm used in the most recent version of Matlab though:

http://prod.sandia.gov/techlib/access-control.cgi/1985/851018.pdf

Related post: Calculation of bessel function versus matlab solution