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

AngerJ

AngerJ
gives the Anger function .
AngerJ
gives the associated Anger function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • satisfies the differential equation .
  • is defined by .
  • AngerJ is an entire function of z with no branch cut discontinuities.
  • For certain special arguments, AngerJ automatically evaluates to exact values.
  • AngerJ can be evaluated to arbitrary numerical precision.
  • AngerJ automatically threads over lists.
Evaluate numerically:
Plot :
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Plot :
In[1]:=
Click for copyable input
Out[1]=
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
AngerJ threads element-wise over lists:
Simple exact values are generated automatically:
TraditionalForm formatting:
Use FunctionExpand to expand AngerJ into hypergeometric functions:
New in 7