Explicit inversion of cosh-weighted Finite Hilbert Transform
General Mathematics
2026-05-26 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.
Cite
@article{arxiv.2002.12723,
title = {Explicit inversion of cosh-weighted Finite Hilbert Transform},
author = {Jiangsheng You},
journal= {arXiv preprint arXiv:2002.12723},
year = {2026}
}