Am 14.02.2025 um 17:55 schrieb Riccardo (Jack) Lucchetti:
On 14/02/2025 17:06, Sven Schreiber wrote:
I think the built-in hyp2f1() function needs some more documentation
in the function reference, where it basically just says that it's the
Gauss hypergeometric function with four arguments, and that the
fourth argument should be real-valued.
Wow. I didn't even remember we had this function in the first place. I
don't remember when we added it, or why, but it's good to have it. Of
course you're right, it needs better documentation.
...
Well, in fact if you scroll down the same wikipedia page, in fact
argument 4 can be -1 (which we handle ok already) or 1 if the real
part of arg 3 is greater than the real part of the sum of args 1 and 2
(which we don't but wouldn't be difficult to add, given that we have
bincoeff() already).
...
What we have in the source from cephes is in fact a bit more intricate
(file cephes/hyp2f2.c, line 145).
...
OK - BTW, the fact that the file is called hyp2f2 but the function's
name is hyp2f1 also begs the question what the rationale for the
function name is, it's quite cryptic.
-s
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