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Why is the first type bessel function called first?

  1. Jul 3, 2012 #1
    what is the difference between first- and second-type bessel functions?
     
  2. jcsd
  3. Jul 3, 2012 #2

    Simon Bridge

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    The difference is in the characteristics of their behavior - eg. (and simplistically) the 1st kind are finite at the origin while the 2nd kind have a singularity there for example. So much for the differences - but you also want to know how come the numbering - well, considering these two classes, which one would you like to consider first?

    It's a convention. Since the Bessel equation is 2nd order there have to be two independent solutions. I don't think there is anything especially profound about the order.

    http://www.springerlink.com/content/rm536p06v8442482/
     
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