Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integration with branch cuts

  1. Apr 22, 2009 #1

    I find integration with branch cuts difficult to grasp.
    For example, I can understand that [tex]\sqrt{x}[/tex] is mutivalued and has 2 branches if we take a branch cut from 0 to +infty. But given it to be integrated from -infty to +infty what is the the meaning of taking a branch of [tex]\sqrt{x}[/tex] ?

    Could u pls give me some pointers to look or guide me with this example?

    I hope to find answers to integrals like [tex]\sqrt{(x-1){x-2}}[/tex]
  2. jcsd
  3. Apr 7, 2010 #2
    Did you get un answer for your question?

    I'm dealing with this integral:
    \int_0^{\infty } \frac{(\text{BesselJ}[0,\zeta a]-\text{BesselJ}[0,\zeta b])^2}{\zeta \sqrt{\zeta ^2-k^2}} \, d\zeta
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook