[Submitted on 16 Feb 2020 (v1), last revised 24 May 2026 (this version, v3)]

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Abstract:Several identities of the cosh-weighted finite Hilbert Transform and the Bertola-Katsevich-Tovbis inversion formulas are rederived by the Sokhotski-Plemelj formula and the Poincare-Bertrand formula. The explicit formulas are derived for the cosh-weighted Hilbert transform of the exponential Chebyshev functions. Numerical experiments are performed to study the computational effects of the inversion formulas.

Submission history

From: Jiangsheng You Dr. [view email]
[v1] Sun, 16 Feb 2020 21:00:01 UTC (281 KB)
[v2] Mon, 2 Mar 2020 05:30:40 UTC (728 KB)
[v3] Sun, 24 May 2026 04:27:40 UTC (814 KB)

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