Enter the following code into an input cell in a worksheet, and evaluate the cell.
var('n,x,t') J_n(n,x) = 1/pi*integral(cos(n*t-x*sin(t)), t) J_n show(J_n) view(J_n) view(J_n, mode='display'))
You should see the following results in your worksheet:
Let's say you want to generate a PDF file. Enter the following code after evaluating the code from the first example:
restore('i')) J_n_2(n, x) = 1 / (2 * pi) * integral(exp(-i * (n * t - x * sin(t))), t, -pi, pi) view([J_n, J_n_2], title='Representations of the Bessel function',, sep='\hrule', viewer='pdf', mode='display')
You will not see any output in the worksheet. Instead, the external viewer should open a new window with a PDF file that contains the following content:
If you only want to output a single equation as a PDF file, rather than an entire page, try this:
view(J_n, viewer='pdf', tightpage=True, mode='display')
The results should look like this:
Now, try this:
sage.misc.latex.png(J_n...