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  • is any positive real number.


  • This function gives the value of the Gamma function.
  • The Gamma function is defined to be an extension of the factorial to complex and real number arguments.
  • That is, if n is a positive integer:

  • 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: