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.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
.\" Distributed under GPL
.\" Based on glibc infopages
.\" Modified 2004-11-15, fixed error noted by Fabian Kreutz
.\" <kreutz@dbs.uni-hannover.de>
.\"
.\" Japanese Version Copyright (c) 2002 Akihiro MOTOKI
.\" all rights reserved.
.\" Translated Sun Sep 22 09:31:52 2002
.\" by Akihiro MOTOKI <amotoki@dd.iij4u.or.jp>
.\" Updated & Modified Sat Feb 12 12:00:00 2005
.\" by SAITOH Akira <s-akira@users.sourceforge.net>
.\"
.TH TGAMMA 3 2004-11-15 "GNU" "libc math functions"
.SH ̾
tgamma, tgammaf, tgammal \- Υؿ
.SH
.B #include <math.h>
.sp
.BI "double tgamma(double " x );
.br
.BI "float tgammaf(float " x );
.br
.BI "long double tgammal(long double " x );
.sp
ѥ˥ץ \-std=c99
˥ץ \-lm Ѥ뤳ȡ
.SH
ؿϰʲΤ褦:
.sp
Gamma(x) = t^(x-1) e^-t dt 0 ̵ޤǤʬ
.sp
δؿǤʤ٤Ƥμ¿ФƤ롣
\fIm\fP ˴ؤơʲΩ:
.sp
Gamma(m+1) = m!
.sp
Ūˤϡ٤Ƥ \fIx\fP ˴ؤưʲΩ:
.sp
Gamma(x+1) = x * Gamma(x)
.sp
ˡˤ٤Ƥ \fIx\fP ǼΩ:
.sp
Gamma(x) * Gamma(1-x) = PI/sin(PI*x)
.PP
δؿϡ \fIx\fP Ф륬ؿ֤ͤ
δؿϡ (true) ؿפȸƤФ롣
ʤʤ顢
.I gamma()
ȤؿǤ¸ߤ¾֤ͤǤ롣
.SH 顼
顼å뤿ˤϡδؿƤӽФ
.I errno
0 ˥åȤ
.I feclearexcept(FE_ALL_EXCEPT)
Ƥ٤Ф褤
ؿ¹Ըˡ
.I errno
0 ʳ
.I fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW)
0 ʳʤС顼ȯȤʬ롣
.LP
\fIx\fP 礭硢range error ȯ롣
\fIx\fP 0 Ǥ硢pole error ȯ롣
\fIx\fP ξˤ domain error (⤷ pole error) ȯ롣
.SH
C99.
.SH Ϣ
.BR gamma (3),
.BR lgamma (3)
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