GNU bug report logs - #64077
30.0.50; Wrong definition of gamma function in calc.texi [PATCH]

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Message #10 received at 64077-done <at> debbugs.gnu.org (full text, mbox):

From: Eli Zaretskii <eliz <at> gnu.org>
To: Vladimir Nikishkin <lockywolf <at> gmail.com>
Cc: 64077-done <at> debbugs.gnu.org
Subject: Re: bug#64077: 30.0.50;
 Wrong definition of gamma function in calc.texi [PATCH]
Date: Thu, 15 Jun 2023 10:41:00 +0300

> From: Vladimir Nikishkin <lockywolf <at> gmail.com>
> Date: Thu, 15 Jun 2023 12:25:04 +0800
> 
> No Emacs code is affected, but the Gamma Function is defined by a
> convergent integral, not a divergent one.
> 
> Patch below:
> 
> ---   doc/misc/calc.texi
> @@ -18614,7 +18614,7 @@ Advanced Math Functions
>  factorial function:  @samp{gamma(n+1) = fact(n)}.  For general complex
>  arguments the gamma function can be defined by the following definite
>  integral:
> -@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
> +@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
>  @infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
>  (The actual implementation uses far more efficient computational methods.)

Thanks, fixed.  (But the corresponding @infoline needed to be fixed as
well, right?  So I did that.  And switched to using @sup there, to
produce a nicer HTML output.)

Closing.

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