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- W916264029 abstract "Synopsis A scheme devised by Chandrasekhar for investigating the transformations between various differential equations of the second order governing perturbations of the Schwarzschild black hole demands further investigation. The transformation between two differential equations in normal form is considered, and a wide survey of the properties of the transformation is given. It is shown how Chandrasekhar's equations fit into the scheme, after which some examples with particular properties are considered. A detailed investigation of Bessel's equation is undertaken using various devices, in particular by employing asymptotic methods for products of Bessel functions, and employing matrix methods for dealing with large numbers of matrix equations which necessitates an interesting method of solution, the results being reinterpretations of the standard recurrence relations for Bessel functions." @default.
- W916264029 created "2016-06-24" @default.
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- W916264029 date "1977-01-01" @default.
- W916264029 modified "2023-10-14" @default.
- W916264029 title "Transformations between second order linear differential equations and a reinterpretation of recurrence relations between Bessel functions with algebraic coefficients" @default.
- W916264029 cites W2054276828 @default.
- W916264029 doi "https://doi.org/10.1017/s030821050001684x" @default.
- W916264029 hasPublicationYear "1977" @default.
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