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*Gamma function is defined for all complex numbers except the non-positive integers.  
 
*Gamma function is defined for all complex numbers except the non-positive integers.  
 
*For complex numbers with a positive real part, it is defined via a convergent improper integral:
 
*For complex numbers with a positive real part, it is defined via a convergent improper integral:
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<math>\Gamma (z) = \int\limits_{0}^{/infty} x^{z-1} e^{-x} dx </math>
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