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On the Titchmarsh–Weyl m -function
Published online by Cambridge University Press: 14 November 2011
Synopsis
The Weyl theory assets that there exist circles, possibly degenerate, in the complex plane which are associated with Sturm–Liouville equations. Closely related to these circles is the Titchmarch–Weyl m-function which plays a major role in the theory of Sturm-Liouville equations. In this paper, we investigate the asymptotic behaviour of the m-function and derive results of the form
for λ in a certain subset of the compledx plane.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 223 - 237
- Copyright
- Copyright © Royal Society of Edinburgh 1983
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