From mboxrd@z Thu Jan 1 00:00:00 1970 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Vladimir Nikishkin Newsgroups: gmane.emacs.bugs Subject: bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH] Date: Thu, 15 Jun 2023 12:25:04 +0800 Message-ID: <87pm5x4ac8.fsf@laptop.lockywolf.net> Mime-Version: 1.0 Content-Type: text/plain Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="27934"; mail-complaints-to="usenet@ciao.gmane.io" User-Agent: mu4e 1.8.14; emacs 30.0.50 To: 64077@debbugs.gnu.org Original-X-From: bug-gnu-emacs-bounces+geb-bug-gnu-emacs=m.gmane-mx.org@gnu.org Thu Jun 15 06:30:20 2023 Return-path: Envelope-to: geb-bug-gnu-emacs@m.gmane-mx.org Original-Received: from lists.gnu.org ([209.51.188.17]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1q9ecl-0007CC-Rg for geb-bug-gnu-emacs@m.gmane-mx.org; Thu, 15 Jun 2023 06:30:19 +0200 Original-Received: from localhost ([::1] helo=lists1p.gnu.org) by lists.gnu.org with esmtp (Exim 4.90_1) (envelope-from ) id 1q9ecV-0006nB-Mb; 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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.) -- Your sincerely, Vladimir Nikishkin (MiEr, lockywolf) (Laptop)