Nested functions using handler

Hi, Sorry for the ambiguous title, I have three functions

syms a
a = 52.9
f1 = @(r,t,p) (1/sqrt(2*pi*a)).*exp(-r./a)
f2 = @(r,t,p) (1/sqrt(15*pi*a)) .* exp(-r./(3*a))
f3 = @(r,t,p) f1 .* f2 .* (r.^3) .* cos(t) .* sin(t)
integral3(f3,0,Inf,0,pi,0,2*pi)

If I run this I would get following error:

Error using @(f1,f2)@(r,t,p)f1*f2.*(r.^3).*cos(t).*sin(t)
Too many input arguments.

But if I incorporate the f1 and f2 functions in f3 function, it works perfectly fine:

f3 = @(r,t,p) (1/sqrt(2*pi*a)).*exp(-r./a) * (1/sqrt(15*pi*a)) .* exp(-r./(3*a)) .* (r.^3) .* cos(t) .* sin(t)
integral3(f3,0,Inf,0,pi,0,2*pi)

ans =

-7.7376e-11

For the type of usage that I intend to use, I have to have it defined as three separate functions. I appreciate it if you can help me figure out the problem.

Answer 1

[Steven Lord]

You don't need the syms call, since you immediately overwrite the symbolic variable with a numeric value.

You can't multiply two function handles together. You can multiply the values you receive by evaluating two function handles together.

f1 = @(x) sin(x);
f2 = @(x) cos(x);

willWork = @(x) f1(x).*f2(x);
willWork(1:10)

willNOTWork = @(x) f1.*f2;
willNOTWork(1:10)