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?

Answer 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);