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Approximation of analytic functions by Hermite functions - MaRDI portal

Approximation of analytic functions by Hermite functions (Q1041174)

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scientific article; zbMATH DE number 5641310
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Approximation of analytic functions by Hermite functions
scientific article; zbMATH DE number 5641310

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    Approximation of analytic functions by Hermite functions (English)
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    1 December 2009
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    The author solves the inhomogeneous Hermite equation with a power series on the right. This is used to establish the error bound \(O(x^2)\), \(x \to 0\), for the approximation of an analytic function by a solution of the homogeneous Hermite equation.
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    approximation
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    Hermite equation
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    Hermite function
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    analytic function
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    power series method
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