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  • is any positive real number.


  • 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:


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

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See Also