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gamma(x)
computes Gamma (\\Gamma
) of x
. For positive, integer values of x
the Gamma function simplifies to the factorial function \\Gamma(x)=(x-1)!
.
\\Gamma(x) = \\int_0^\\infty t^{x-1}{\\mathrm{e}}^{-t}\,円{\\mathrm{d}}t
Fortran 2008 and later
x = gamma(x)
x
- Shall be of type real
and neither zero nor a negative integer.The return value is of type real
of the same kind as x
.
program test_gamma
real :: x = 1.0
x = gamma(x) ! returns 1.0
end program test_gamma
Logarithm of the Gamma function: log_gamma