Difference between revisions of "Manuals/calci/GAMMAFUNCTION"

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==References==
 
==References==
*[https://en.wikipedia.org/wiki/Gamma_function |Gamma Function]
+
*[https://en.wikipedia.org/wiki/Gamma_function Gamma Function]
 
*[[Z_API_Functions | List of Main Z Functions]]
 
*[[Z_API_Functions | List of Main Z Functions]]
  
 
*[[ Z3 |  Z3 home ]]
 
*[[ Z3 |  Z3 home ]]

Revision as of 15:00, 8 August 2017

GAMMAFUNCTION (z)


  • is any positive real number.

Description

  • 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:

  • This function will return the result as NaN when the given number as negative or Non numeric.


Examples

  1. GAMMAFUNCTION(2) = 1.0000026676984093
  2. GAMMAFUNCTION(45.3) = 8.308990531109891e+54
  3. GAMMAFUNCTION(-3) = NaN

See Also


References