sum of Bessel function

Hello, I am trying to plot double sum of fuction that have a Bessel fuction from -pi to pi, like

which is Bessel function.

My code is

syms x m
assume(in(m,'integer') & m>=0);
assume(x>-pi & x<pi);
J=besselj(0,pi/2*m);
A = 2/((2*m+1)*pi)*J*sin((2*m+1)*1000*x-(2*m+1)*pi/2);

g = symsum(A,m,0,Inf);
fmesh(g,5*[-pi pi],'MeshDensity',1e2);

but this show error

Warning: Error updating FunctionSurface.

 The following error was reported evaluating the function in FunctionLine update: Unable to convert expression
 containing remaining symbolic function calls into double array. Argument must be expression that evaluates to
 number.

Answer 1

[Torsten]

syms x 
syms m integer

A = 2/((2*m+1)*pi)*besselj(0,pi/2*m)*sin((2*m+1)*1000*x-(2*m+1)*pi/2)
g = symsum(A,m,0,Inf)
fplot(g,[-5*pi 5*pi])

[Ngo Nhan]

thanks so much, but Matlab could not plot with your code

Here is error

Warning: Error updating FunctionLine.

The following error was reported evaluating the function in FunctionLine update: Unable to convert expression

containing remaining symbolic function calls into double array. Argument must be expression that evaluates to

number.

Answer 2

[Torsten]

m = 0:250;
x = linspace(-5*pi,5*pi,1000).';
A = 2./((2*m+1)*pi).*besselj(0,pi/2*m).*sin(1000*(2*m+1).*x-(2*m+1)*pi/2);
f = sum(A,2);
plot(x,f)

[Ngo Nhan]

thansks so much