This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

Hyperfactorial

Hyperfactorial[n]
gives the hyperfactorial function .
  • Mathematical function, suitable for both symbolic and numeric manipulation.
  • Hyperfactorial is defined as for positive integers .
  • The hyperfactorial function satisfies .
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 for complex argument:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Hyperfactorial threads element-wise over lists:
TraditionalForm formatting:
The discriminant of the Hermite polynomial is related to the hyperfactorial:
New in 7