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On the location of the Weyl circles

Published online by Cambridge University Press:  14 November 2011

F. V. Atkinson
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1

Synopsis

The paper deals with explicit estimates concerning certain circles in the complex plane which were associated with Sturm–Liouville problems by H. Weyl. By the use of Riccati equations instead of linear integral equations, improvements are obtained for results of Everitt and Halvorsen concerning the behaviour of the Titchmarsh–Weyl m-coefficient.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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