Expansion of a Bessel Function

John 123

1. The problem statement, all variables and given/known data
Since the expansion of:
[tex]
J_0(x)=1-\frac{x^2}{2^2}+\frac{1}{(2!)^2}\frac{x^4}{2^4}....
[/tex]
Is the expansion of:
[tex]
J_0(ax)
[/tex]
[tex]
J_0(ax)=1-\frac{(ax)^2}{2^2}+\frac{1}{(2!)^2}\frac{(ax)^4}{2^4}....
[/tex]


2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution