estimating theorem of contour integral
Theorem.
If is a continuous complex function on the rectifiable curve of the complex plane, then
(1) |
where
is the of .
The form of (1) concerning the continuous real function on the interval is
For applications of this important theorem, see the example of using residue theorem.
Title | estimating theorem of contour integral |
Canonical name | EstimatingTheoremOfContourIntegral |
Date of creation | 2013-03-22 15:19:36 |
Last modified on | 2013-03-22 15:19:36 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 7 |
Author | pahio (2872) |
Entry type | Theorem |
Classification | msc 30E20 |
Classification | msc 30A99 |
Synonym | estimation theorem of integral |
Synonym | integral estimating theorem |
Related topic | MinimalAndMaximalNumber |
Related topic | AnalyticContinuationOfRiemannZetaUsingIntegral |
Related topic | IntegralMeanValueTheorem |