  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.
