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Math Help - Bessel's Functions

  1. #1
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    Bessel's Functions

    J_{m}(x) = \sum^{infnty}_{s=0} \frac{(-1)^{s}x^{m+2s}}{2^{m+2s}s!(m+s)!}

    What do m and s physically mean in the bessel function?

    I.e.
    In maple,
    This corresponds to {\chi}^{s}_{m}
    where s = 3, m = 5

    What do s and m mean though?

    Thanks
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  2. #2
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    Re: Bessel's Functions

    Quote Originally Posted by imagemania View Post
    J_{m}(x) = \sum^{infnty}_{s=0} \frac{(-1)^{s}x^{m+2s}}{2^{m+2s}s!(m+s)!}
    What do m and s physically mean in the bessel function?
    Thanks
    Suppose that someone ask you on this manner:

    exp(x) = \sum^{infnty}_{s=0} \frac{x^{s}}{s!}
    What do s physically mean in the exponential function?

    If you can answer, then give the same answer for your question about the Bessel function.
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