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A paper by F. W. King, "Analysis of some integrals arising in the atomic four-electron problem", contains expressions which it is shown can be further simplified to an extent making the formulation significantly more efficient. Two errors in one of the equations are also identified.

Comment on “Analysis of some integrals arising in the atomic four-electron problem” [J. Chem. Phys. 99, 3622 (1993)]