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In the paper commented on [J. Chem. Phys. 130 (2009) 144102], Cheng et al.derived a formula for the magnetic dipole shielding constant $\sigma$ for theDirac one-electron atom in its ground state. That formula involves an infiniteseries of ratios of the Euler's gamma functions. We show that with some algebrathe series may be expressed in terms of elementary functions. This leads to asimple closed-form expression for the shielding constant.

Comment on "Four-component relativistic theory for NMR parameters:  Unified formulation and numerical assessment of different approaches" [J.  Chem. Phys. 130, 144102 (2009)]