Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 109-124
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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/
@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},
year = {1986},
volume = {156},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a9/}
}
TY - JOUR
AU - M. A. Kovalevsky
TI - The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 109
EP - 124
VL - 156
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a9/
LA - ru
ID - ZNSL_1986_156_a9
ER -
%0 Journal Article
%A M. A. Kovalevsky
%T The calculation of the connection multipliers for the equation $x^2\varphi''-(x^3+a_2x^2+a_1x+a_0)\varphi=0$
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 109-124
%V 156
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a9/
%G ru
%F ZNSL_1986_156_a9
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.
