Bessel-like differential equation I have the following Bessel-like differential equation:
$$r^2T^{''}+K_1rT^{'}+(K_2r^2+K_3r^m)T=0$$
In this equation, $T=f(r)$ and $K_1$, $K_2$, $K_3$, and $m$ are parameters. I need an analytical solution for it. $T$ should be obtained as an explicit function of $r$. May somebody help me to find a solution?
Thanks in advance!

Some special cases:
$m=0,2$ : convertible to Bessel ODE
$m=1$ : convertible to degenerate hypergeometric ODE
$m=4$ : ODE of the form http://eqworld.ipmnet.ru/en/solutions/ode/ode0216.pdf
$m=-2$ : similar to Hunt for exact solutions of second order ordinary differential equations with varying coefficients. and can reduce to the doubly-confluent Heun equation
