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Line of maximum for a 2D 'surface'

  1. Aug 18, 2013 #1
    Hello,

    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 ?

    Thanks!
     
  2. jcsd
  3. Aug 18, 2013 #2

    verty

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