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

Line of maximum for a 2D 'surface'

  1. Aug 18, 2013 #1

    I hope this is the right section to post this question.

    While analysing the asymptotic value of a ratio of a bessel and a hankel function, I reduced it to something of the form

    [(1 + β/n)^ n * (1 + n/β)^ β] / 2^(n+β) ; n and β are integers and greater than 1

    how do I show that the above expression is always less than 1, for n≠β. When n=β, the above expression becomes equal to 1.

    Or relatedly, if I have to find the line of maximum for a 2D surface given above (for varying n and β), how do I go about ?

  2. jcsd
  3. Aug 18, 2013 #2


    User Avatar
    Homework Helper

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook