Subject: bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]

From: Andreas Schwab <[email-masked]>
Date: Thu, 15 Jun 2023 09:54:26 +0200

On Jun 15 2023, Eli Zaretskii wrote:

>> From: Vladimir Nikishkin <[email-masked]>
>> 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.)

Using @sup{..} is wrong here, though.  The @infoline line is using calc
algebraic syntax.

-- 
Andreas Schwab, SUSE Labs, [email-masked]
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