Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > Bessel-Related Functions > WeberE >
BUILT-IN MATHEMATICA SYMBOLSee Also »|More About »

WeberE

WeberE
gives the Weber function .
WeberE
gives the associated Weber function .
MORE INFORMATION
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • satisfies the differential equation .
  • is defined by .
  • WeberE is an entire function of z with no branch cut discontinuities.
  • For certain special arguments, WeberE automatically evaluates to exact values.
  • WeberE can be evaluated to arbitrary numerical precision.
  • WeberE automatically threads over lists.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Scope   (5)
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
WeberE threads element-wise over lists:
TraditionalForm formatting:
Properties & Relations   (1)
Use FunctionExpand to expand WeberE into hypergeometric functions:
New in 7
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF