A numerical method for the determination of the Titchmarsh-Weyl m -coefficient

DOI10.1098/rspa.1991.0159zbMath0742.34024OpenAlexW1980394391MaRDI QIDQ3984335

V. G. Kirby, John D. Pryce, B. Malcolm Brown

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1991.0159

zbMATH Keywords

Weyl-Titchmarsh functioncomputationnumerical algorithmWeyl circleEveritt's extension of the Hardy-Littlewood integral inequality

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Computation of special functions and constants, construction of tables (65D20) Numerical analysis in abstract spaces (65J99)

Related Items (4)

Classical and vector Sturm-Liouville problems: Recent advances in singular-point analysis and shooting-type algorithms ⋮ On a new algorithm for the computation of enclosures for the Titchmarsh-Weyl \(m\)-function ⋮ Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials ⋮ A numerical investigation of HELP inequalities

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