How to perform summation till infinity in analysis?

Hey everyone,

Trying to solve a research article, I stumbled upon an equation which I don't know how to input in Matlab. Currently, I am planning to take an upper-bound integer and simulate the iteration to that number. But what is the exact way to do it?

Please find the image attached to understand what I mean.

[Walter Roberson]

Is J the BesselJ function?

Answer 1

[Walter Roberson]

You would use the symbolic toolbox and symsum()

[Syed]

Can you give an idea how (a small piece of code or example)? I know how to use symbolic functions, but I dont know how to use symsum() to do infinite additions. Currently, I am using the iteration of loop for this purpose...

[Walter Roberson]

syms m k
symsum((-1).^(m-k).*besselj(m,k), k, 1,inf)

[Syed]

Thank you for your time