Viewing topic: Complex Residue

See sub-topics for Complex Residue ... >> Mathematics >> Mathematical Analysis >> Complex Residue

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.

Complex Residue

  • Definition: The constant a_(-1) in the Laurent series f(z) = sum_(n=-infinity)^infinity [a_n(z-z_0)^n] of f(z) about a point z_0 is called the residue of f(z). If f is analytic at z_0, its residue is zero, but the converse is not always true (for example, 1/z^2 has residue of 0 at z=0 but is not analytic at z=0).


  • There are no comments for this topic.