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 > Formula Manipulation > Algebraic Transformations > Rational Functions > Residue >
BUILT-IN MATHEMATICA SYMBOLTutorials »|See Also »|More About »

Residue

Residue
finds the residue of expr at the point .
MORE INFORMATION
  • The residue is defined as the coefficient of in the Laurent expansion of expr.
  • Mathematica can usually find residues at a point only when it can evaluate power series at that point.
EXAMPLESCLOSE ALL
Basic Examples   (2)
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
 
In[1]:=
Click for copyable input
Out[1]=
Applications   (1)
Illustrate Cauchy's theorem for the integral of a complex function:
Possible Issues   (1)
Residues are not defined at branch points:
New in 2
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF