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Student Support Forum: 'Roots of the Derivative of the Bessel Function' topicStudent Support Forum > General > "Roots of the Derivative of the Bessel Function"

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BKP
09/19/12 5:32pm

I am solving some circular waveguide equations and I need to use the zeros of of the derivative of the Bessel function of the first kind for various integer orders.

I could manually implement the table but I would prefer Mathematica to do it for me.

I saw that there was a function in versions of Mathematica prior to 6 that gives me exactly what I need. Unfortunately it is no longer available in the new versions.
(http://mathworld.wolfram.com/BesselFunctionZeros.html)

I have seen the BesselJZero function, but it it is not for the first derivative of the function.
(http://reference.wolfram.com/mathematica/ref/BesselJZero.html)

My initial attempts at recreating that function were useless since I can't seem to figure out to calculate a certain amount of roots of the derivative. I used the following line of code:
FindRoot[D[BesselJ[0, x], x], {x, 5}]

Does anyone have any idea how I could use that old function or create my own?

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Subject (listing for 'Roots of the Derivative of the Bessel Function')
Author Date Posted
Roots of the Derivative of the Bessel Function BKP 09/19/12 5:32pm
Re: Roots of the Derivative of the Bessel Funct... Bill Simpson 09/25/12 6:40pm
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