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Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials - MaRDI portal

Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials (Q1301797)

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scientific article; zbMATH DE number 1334652
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English
Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials
scientific article; zbMATH DE number 1334652

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    Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials (English)
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    17 May 2000
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    The authors presented a method to calculate the Titchmarsh-Weyl function as model for potential calculations. Such models have sometimes no analytical solutions. They are able to calculate the Titchmarsh-Weyl function both far from and near to poles. An extended study of the parametrization of Titchmarsh-Weyl functions at the poles is presented. The authors use the differential equation solver NDSolve (Mathematica) for accurate calculation. Numerical results are included.
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    Weyl sums
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    special function calculation
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    Titchmarsh-Weyl function
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    numerical results
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