The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$

Numerical realization and the efficiency of method of calculation of connection multipliers described in auther's previous works are considered. It is established that used method is a generalization of traditional one for Bessel functions. Some relations between connection multipliers are deduced. Using these relations it is possible to estimate the accuracy of the method in some cases.