On the location of the Weyl circles
- 1 January 1981
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 88 (3-4) , 345-356
- https://doi.org/10.1017/s0308210500020163
Abstract
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.This publication has 4 references indexed in Scilit:
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- On the asymptotic form of the Titchmarsh-Weyl m -coefficient†Applicable Analysis, 1978
- On a Property of the M -Coefficient of a Secondorder Linear Differential EquationJournal of the London Mathematical Society, 1972
- ber gew hnliche Differentialgleichungen mit Singularit ten und die zugeh rigen Entwicklungen willk rlicher FunktionenMathematische Annalen, 1910