How to compute the Bessel function in MATLAB?

Question

I want to compute the Bessel function of the first kind in MATLAB.

J₀ = First kind zero order.
J₁: There is nothing mentioned what is J₁ in the article.
But wikipidea says: The series indicates that −J₁(x) is the derivative of J₀(x).
What is J₁ and how should I compute it in MATLAB?
Should r be a constant value or variable?

Let us say I want to compute J₀(r) and J₁(r)

J0 = besselj(0,r);
J1 = -besselj(1,r);

Is the code for J1 correct?

What you mean by implement? Do you want to code your own `bessel` function or just use MATLAB's built-in `besselj` [function](https://www.mathworks.com/help/matlab/ref/besselj.html#mw_b63c9faa-8dee-4bd8-879a-92a756d6fe1e)? Did you checked the `besselj` documentation? It is clear in the examples what the first and second argument are. — Thales, Oct 18 '19 at 14:19

score 1 · Answer 1 · edited Oct 18 '19 at 17:05

1

According to the documentation, besselj(α,r) computes J_α(r), the Bessel function of the first kind of order α. So if you want to compute the function for order 1, do

J1 = besselj(1,r);

edited Oct 18 '19 at 17:05

Bob Gilmore

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answered Oct 18 '19 at 16:58

Cris Luengo

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Yes. I did the same. Thank you – alluri Nov 01 '19 at 05:41

How to compute the Bessel function in MATLAB?

1 Answers1