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Bessel function, what does the notation in this function mean?

  1. Jul 10, 2012 #1

    I have come across the following equation and want to know what the notation means exactly:

    [tex]\frac{-2 \pi \gamma}{\sigma} \frac{[ber_2(\gamma)ber'(\gamma) + bei_2(\gamma)bei'(\gamma)]}{[ber^2(\gamma) + bei_2(\gamma)]}[/tex]

    Now, I know ber is related to bessel functions. For example, I think ber is the real part of the Bessel function of first kind, and bei might be the imaginary part? I assume ber' is the derivative

    Could someone possibly explain what each of the bei ber parts are?

    I ultimately will want to calculate this formula in Matlab. Matlab's bessel function can apparently return different orders of the bessel function, should I be using anything other than order 1? does the subscripted 2 in the formula indicate order 2 should be used for instance? Alternatively, should I be using multiple orders and summing the results or something like this to improve accuracy?

  2. jcsd
  3. Jul 10, 2012 #2


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  4. Jul 10, 2012 #3
    ok, I was about to say that I'd already seen this and it didn't answer my questions, but on closer reading, I suppose it does actually.

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