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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The characteristic exponent of second-order linear differential equations with two irregular singular points


Author: Wolfgang Bühring
Journal: Proc. Amer. Math. Soc. 118 (1993), 801-812
MSC: Primary 34A20
DOI: https://doi.org/10.1090/S0002-9939-1993-1169022-6
MathSciNet review: 1169022
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Abstract: A second-order linear differential equation with two irregular singular points, of which one has unit rank, is investigated. A simple limit formula is obtained for the characteristic exponent of the multiplicative solutions as well as a more detailed asymptotic formula which is suitable for getting accurate numerical values. Only the recursively known coefficients of the formal power series solutions at the irregular singular point of unit rank enter our formulas.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1169022-6
Keywords: Linear differential equations, characteristic exponent, characteristic index, Floquet exponent, irregular singular points
Article copyright: © Copyright 1993 American Mathematical Society