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(Abramowitz and Stegun section 6.1.1, page 255)
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(Abramowitz and Stegun section 6.1.1, page 255)
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\deqn{\Gamma(x) = \int_0^\infty t^{x-1} e^{-t} dt}{\Gamma(x) = integral_0^Inf t^(x-1) exp(-t) dt}
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\deqn{\Gamma(x) = \int_0^\infty t^{x-1} e^{-t} dt}{\Gamma(x) = integral_0^Inf t^(x-1) exp(-t) dt}
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for all real \code{x} except zero and negative integers (when
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for all real \code{x} except zero and negative integers (when
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\code{NaN} is returned). There will be a warning on possible loss of
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\code{NaN} is returned). There will be a warning on possible loss of
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precision for values which are too close (within about
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66 |
precision for values which are too close (within about
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| 67 |
\eqn{10^{-8}}{1e-8})) to a negative integer less than \samp{-10}.
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\eqn{10^{-8}}{1e-8}) to a negative integer less than \samp{-10}.
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\code{factorial(x)} (\eqn{x!} for non-negative integer \code{x})
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\code{factorial(x)} (\eqn{x!} for non-negative integer \code{x})
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is defined to be \code{gamma(x+1)} and \code{lfactorial} to be
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is defined to be \code{gamma(x+1)} and \code{lfactorial} to be
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\code{lgamma(x+1)}.
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71 |
\code{lgamma(x+1)}.
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