Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

The wabpage that I refered to gives just a very few samples. In practice, I have measurements that could be described as Bessel functions of all possible kinds of orders from 0 to 40 around. My problem is how to retreive exactly the order of the corresponding Bessel function.

More examples can be found at

http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html

Is Bessel function a "cold" topic in Math World?

Thank you, ryos. You are right, the zero-order Bessel function can be easily identified because it has intercept on y-axis at 1. However, all other Bessel functions intersect the y-axis at zero. The problem is how to recognize those higher-order Bessel functions?

Looking forward to any possible solution. Thanks.

Kevin_Jiang
Replies: 5

A Bessel function (of the first kind, I mean here) can nowdays be routinely calculated if given the order of the Bessel function. Bessel Function plots are also known corresponding to specific orders. Pls visit

http://www.phys.ufl.edu/~dorsey/phys6346/worksheets/bessel1.html   for examples.

My question is: If I were given a plot of some Bessel function without known its order, how could I retrieve the order of the Bessel Function from the plot? Please note that the absolute x-coordinate is missing from the plot, i.e. we cannot read out the absolute x-values for those Bessel zeros.