Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions

DOI10.1023/A:1021915128433zbMath0988.65123OpenAlexW1945353775MaRDI QIDQ5952344

Walter Gautschi, Jörg Waldvogel

Publication date: 22 July 2002

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021915128433

zbMATH Keywords

Hilbert transformrecursionnumerical stabilityseries expansionscontour integrationHermite weight functionLaguerre weight functionsaddle-point asymptoticsthree-term-recurrence relation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

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