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Re: derivate of Bessel function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84744] Re: derivate of Bessel function
  • From: Norbert Marxer <marxer at mec.li>
  • Date: Fri, 11 Jan 2008 22:13:35 -0500 (EST)
  • References: <fm7dr2$esv$1@smc.vnet.net>

On 11 Jan., 10:45, ma <p.mauri... at gmail.com> wrote:
> Hi,
>
> i have to plot the derivate of bessel function of first kind of order n.
> n is a vector from 0 to N=21.
> i have the same problem eith the plot of derivate of Hankel function
> of kind 2 of order n.
>
> i tried with another system, but i can't able to do it.
>
> anyone can help me, please?
>
> thank you!

Hello

You get the derivatives with:

funcs = Table[D[BesselJ[n, x], x], {n, 0, 21}];

The you can plot all of them using:

Plot[funcs, {x, 0, 50}]

or some of them (e.g. the first 5) using

Plot[Evaluate[funcs[[1 ;; 5]]], {x, 0, 50}]

Note that you have to use Evaluate to get different colors for the
different curves.
Note that index 1 (for funcs) corresponds to the order 0 (of the
Bessel function).

Best Regards
Norbert Marxer


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