Manuals/calci/GFUNCTION

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:

 

  •  

Failed to parse (syntax error): {\displaystyle {{(1+\frac{z}{k}}^k) exp(\frac {z^2}{2k}-z)}