How to solve Bessel function

  • Thread starter man@SUT
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  • #1
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If we want to find x giving J_m(x)=0 where m=any constants, how can we analytically get x?

Thank you
 

Answers and Replies

  • #2
mjsd
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I don't think you can do that analytically. (from memory)
 
  • #3
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I also use mathematica to solve but it doesn't help.
 
  • #4
siddharth
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You'll have an infinite number of real roots.

For large x, you can use the asymptotic formula for [tex]J_n(x)[/tex]. If I remember right, the difference between successive roots will tend to [itex]\pi[/itex] for large x.

Alternatively, you could look up tables which give the zeros for various Bessel functions in a mathematical handbook
 
  • #5
14
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There will be the analytic solution when we assume x -> infinity or x<<1. In the case of the first few values of x giving J_m(x)=0, we might have to use the table to be the last choice. Anyway, thanks mjsd and siddharth.
 

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