When to use the residue at infinity

Context: Graduate
Thread starter jack5322
Start date Mar 15, 2009
Tags

Infinity Residue

Join the discussion

Registration is free. Ask a follow-up in this thread, or start your own.

2 replies · 6K views

jack5322

Thread starter
Mar 15, 2009

why is it that we can use the residue at infinity on the methods of contour integration example on wikipedia for the last one? we can only use the residue at infinity when it is a rational function, i.e. the ratio of two polynomials, if I'm wrong when i say this, why?

Discussion

Physics news on Phys.org

Electron cooling tames highly charged ions in Penning trap for first time
Unusual metal oxide shows signs of magnetism under lattice strain in ultrathin layers
Quantum computer completes verified task beyond practical reach of classical simulations

jack5322

Mar 25, 2009

does anyone know? please help

Count Iblis

Mar 25, 2009

Can you write down the example?

When to use the residue at infinity

Discussion

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

High School Arc Length for Hyperbolic Sin

Undergrad Best way to numerically solve this system of equations?

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Graduate Leibniz Rule Videos on Digital-University

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

When to use the residue at infinity

Discussion

Similar threads

Graduate Can poles on the contour still be used with the residue theorem?

Graduate Trouble with use of the Residue Theorem

Graduate Complex Integration-Residue Theory

How to use the residue theorem when I have an exponential as the pole?

Graduate Can the Residue Theorem be Extended to Higher Dimensions?

Graduate Are Feynman diagrams evaluated using the residue theorem or Wick rotation?

When to Use a Two-Port Representation for a Quadripole in External Circuits?

Definite Integral using Residue Thm

Undergrad How do you know when to use integration by parts on a problem?

Figuring out when to use the two different voltage equations