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bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PAT
From: |
Andreas Schwab |
Subject: |
bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH] |
Date: |
Thu, 15 Jun 2023 09:54:26 +0200 |
User-agent: |
Gnus/5.13 (Gnus v5.13) |
On Jun 15 2023, Eli Zaretskii wrote:
>> From: Vladimir Nikishkin <lockywolf@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.)
Using @sup{..} is wrong here, though. The @infoline line is using calc
algebraic syntax.
--
Andreas Schwab, SUSE Labs, schwab@suse.de
GPG Key fingerprint = 0196 BAD8 1CE9 1970 F4BE 1748 E4D4 88E3 0EEA B9D7
"And now for something completely different."