Complex polynomial approximation by the Lanczos \(\tau\)-method: Dawson's integral (Q1099922)

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scientific article; zbMATH DE number 4043138
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Complex polynomial approximation by the Lanczos \(\tau\)-method: Dawson's integral
scientific article; zbMATH DE number 4043138

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    Complex polynomial approximation by the Lanczos \(\tau\)-method: Dawson's integral (English)
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    1987
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    The Lanczos \(\tau\)-method, with perturbations proportional to Faber polynomials and Faber series are used to obtain polynomial approximations for Dawson's integral on circular sectors. Numerical results show that the \(\tau\)-method can produce polynomial approximations as accurate as the truncated Faber series.
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    polynomial approximation
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    complex approximation
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    tau-method
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    Faber polynomials
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    Faber series
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    Dawson's integral
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