Difference between revisions of "Manuals/calci/GFUNCTION"

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==Related Videos==
 
==Related Videos==
  
{{#ev:youtube|v=XZIVrkkYBRI&t=101s|280|center|GFunction}}
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{{#ev:youtube|v=XZIVrkkYBRI&t=101s|280|center|Gamma Function}}
  
 
==See Also==
 
==See Also==

Latest revision as of 16:02, 22 February 2019

GFUNCTION (Number)


  • is any positive real number.

Description

  • This function shows the value of the Barnes G-function value.
  • In , is any real number.
  • is a function that is an extension of super factorials to the complex numbers.
  • It is related to the Gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes.
  • According to elementary factors, it is a special case of the double gamma function.
  • Formally, the Barnes G-function is defined in the following Weierstrass product form:


Examples

  1. GFUNCTION(10) = 5056584744960000
  2. GFUNCTION(4) = 2
  3. GFUNCTION(7) = 34560
  4. GFUNCTION(5.2) = 12

Related Videos

Gamma Function

See Also

References