1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integration with Bessel function

  1. Nov 23, 2013 #1
    I would like to evaluate the following integral which has a Bessel function [itex]J_{3}(\lambda_{m}r)[/itex], and [itex]\alpha(r)[/itex] is a function.

    [tex]\int^{a}_{0} \alpha(r)rJ_{3}(\lambda_{m}r)dr[/tex]

    I'm unsure how to proceed due to the Bessel function. Am I supposed to use a recurrence relation? Which one?
     
  2. jcsd
  3. Nov 23, 2013 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    It depends on what the function α(r) is.
     
  4. Nov 23, 2013 #3
    The integral is part of a larger problem, which is to solve the wave equation in polar coordinates. The problem statement does not specify α(r).

    Should I just leave the integral as is?
     
  5. Nov 23, 2013 #4

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    If this is homework, follow the homework template. We're not here to guess what you should or should no be doing.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted