Gamma(x) = integral from 0 to infinity of t^(x\-1) e^\-t dt
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It is defined for every real number except for nonpositive integers.
-For nonnegative integral \fIm\fP one has
+For nonnegative integral
+.I m
+one has
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Gamma(m+1) = m!
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-and, more generally, for all \fIx\fP:
+and, more generally, for all
+.IR x :
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Gamma(x+1) = x * Gamma(x)
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-Furthermore, the following is valid for all values of \fIx\fP
+Furthermore, the following is valid for all values of
+.I x
outside the poles:
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Gamma(x) * Gamma(1 \- x) = PI / sin(PI * x)