Geodesic
The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 109-124

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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. 
@article{ZNSL_1986_156_a9,
     author = {M. A. Kovalevsky},
     title = {The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--124},
     publisher = {mathdoc},
     volume = {156},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a9/}
}
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M. A. Kovalevsky. The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 109-124. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a9/