How to calculate equation with multiple variables?

Hello, I am trying to calculate a equation with multiple variables of which some of them depend on another variable like this:

F=A(x)*(x*Ym(beta(x)*rho)+beta2(x)*Jm(beta(x)*rho)*cos(m*phi)*exp(1i*beta3(x)*z)

variables are x, rho, phi, and z, and also there are x dependent quantities like A, beta, beta2, beta3. I am not sure how I can calculate this equation in Matlab since if I use .* for terms such as beta3*z, it will not be right. I am fairly new to Matlab, so only workaround I can think of is to get for loop over x and calculate the equation for each x.

Is there a way I can calculate and generate a multidimensional matrix? Thanks!

[Chad Greene]

How many dimensions do you need F to be?

[Min]

I think it should be 4 X (x resolution). Currently I am sampling x at 1024, so 4 X 1024 will be the dimension of F.

Answer 1

[Mohammad Abouali]

F=@(x,rho,phi,z) (A(x)*(x*Ym(beta(x)*rho)+beta2(x)*Jm(beta(x)*rho)*cos(m*phi)*exp(1i*beta3(x)*z));

you can define other function that you are using the same way.

[Min]

Exactly what I wanted. Thanks!