given 'a' and 'b' fixed i define the function
$ f(t)= bJ_{2t}(a) $
here $ J_{n} $ is a Bessel function but in this cases i would be interested in getting the solutions (?? are there any ? ) for
$ J_{2t}(a)=0 $
so for what 'index' 't' is the bessel function evaluated at the point 'a' equal to zero
is there an expansion or a formula asymptotic or whatever for the limit $ 2t \to \infty $
sorry, as a physicist many of the Bessel function we treated had only integer indices
from the representaion for the Bessel function to high indices is it possible that the solutions are related to the form $ t_{n}= \frac{a}{W(bn)}$ for $ W(x) $ the Lambert function ??