Abstract
A numerical realization of the method of finding coupling factors, described in the author's previous papers, is given in the present paper and its efficiency is studied. It is shown that this method is a generalization of the traditional method of finding coupling factors for Bessel functions. Several relations containing coupling factors are also derived. In a number of cases it is possible to judge the calculation error from the accuracy with which they are satisfied.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 109–124, 1986.
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Kovalevskii, M.A. Calculation of coupling factors for the equation x2ϕ″−(x3+a2x2+a1x+a0)ϕ. J Math Sci 50, 1750–1760 (1990). https://doi.org/10.1007/BF01097105
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DOI: https://doi.org/10.1007/BF01097105