1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Volume Integral Orthogonal Polynomials

  1. Mar 12, 2014 #1


    User Avatar


    1. The problem statement, all variables and given/known data
    Basically I want to evaluate the integral as shown in this document:
    View attachment integral.pdf

    2. Relevant equations

    3. The attempt at a solution
    The integral with the complex exponentials yields a Kronecker Delta.
    My question is whether this Delta can be taken inside the integral over phi space?
  2. jcsd
  3. Mar 12, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper
    2017 Award

    I think so. That is to say you can simply replace p by m and forget about ##\theta##.
    Check for a possible constant factor in case you want to look at orthonormality. For orthogonality you don't have to bother.
  4. Mar 13, 2014 #3


    User Avatar

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Volume Integral Orthogonal Date
What does the area under a volume vs time graph represent? Feb 10, 2018
Integration for the Volume of an Ellipsoid Feb 10, 2018
Triple integration - find volume Nov 11, 2017