This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

BarnesG

BarnesG[z]
gives the Barnes G-function .
  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • The Barnes G-function satisfies .
  • BarnesG can be evaluated to arbitrary numerical precision.
  • BarnesG automatically threads over lists.
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Evaluate numerically:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Evaluate for complex argument:
Simple exact values are generated automatically:
TraditionalForm formatting:
Integral values of BarnesG are related to :
BarnesG may be generated by symbolic solvers:
BarnesG satisfies a differential equation:
Determinants of Hankel matrices built out of Bell numbers:
New in 7