Looking for Borwein's/Zucker's fast algorithm for the gamma function.

[mesa]

I have heard that the Borwein/Zucker algorithm for computing certain values of the gamma function is pretty awesome, but finding it online is proving elusive...

Does anyone know the algorithm?

 

[BOAS]

Is this what you're looking for?

http://imajna.oxfordjournals.org/content/12/4/519

 

[mesa]

Is this what you're looking for?

http://imajna.oxfordjournals.org/content/12/4/519

That is as far as I have gotten (can't afford the $38). I don't need the whole paper, although it would be nice to have just the algorithm would be good enough for now.

As I understand it they use AGM and elliptic integrals of the first kind in order to compute large decimal approximations for certain values of the gamma function with very few steps, but that is about all I know of it so far :P

 

[BOAS]

That is as far as I have gotten (can't afford the $38). I don't need the whole paper, although it would be nice to have just the algorithm would be good enough for now.

As I understand it they use AGM and elliptic integrals of the first kind in order to compute large decimal approximations for certain values of the gamma function with very few steps, but that is about all I know of it so far :P

I have access to it, and if it's not objectionable to you, I'm happy to email you a pdf.

Did you see this discussion?

http://math.stackexchange.com/quest...-gamma-function-to-high-precision-efficiently

I have literally no idea what they're talking about, but perhaps they discuss it in enough detail for you.

 

[mesa]

I have access to it, and if it's not objectionable to you, I'm happy to email you a pdf.

Did you see this discussion?

http://math.stackexchange.com/quest...-gamma-function-to-high-precision-efficiently

I have literally no idea what they're talking about, but perhaps they discuss it in enough detail for you.

Great link, and yes please! PM sent with my email.