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*Normally the number <math>e</math> to the power <math>GAMMALN(x)</math>, where <math>x</math> is an integer, is same as <math>(x-1)!</math>.
*Normally the number <math>e</math> to the power <math>GAMMALN(x)</math>, where <math>x</math> is an integer, is same as <math>(x-1)!</math>.
:<math>GAMMALN=LN(GAMMA(x))</math>,
:<math>GAMMALN=LN(GAMMA(x))</math>,
where
: <math>GAMMA(x) = \int\limits_{0}^{\infty} t^{x-1} e^{-t} dt</math>
: <math>GAMMA(x) = \int\limits_{0}^{\infty} t^{x-1} e^{-t} dt</math>
it is for all complex numbers except the negative integers and zero.
it is for all complex numbers except the negative integers and zero.