Mathematics > General Mathematics
arXiv:2002.12723 (math)
[Submitted on 16 Feb 2020 (v1), last revised 24 May 2026 (this version, v3)]
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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