Computing the Hilbert transform of a Jacobi weight function

DOI10.1007/BF01934185zbMath0629.65023MaRDI QIDQ1094085

Walter Gautschi, Jet Wimp

Publication date: 1987

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Jacobi polynomialrecursive computationevaluation of the Hilbert transform of the Jacobi weight function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Computation of special functions and constants, construction of tables (65D20) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Cites Work

• Error Bounds for Gaussian Quadrature of Analytic Functions
• Recursive computation of certain derivatives&a study of error propagation
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