  The motion of rigid spherical particles suspended in a low Reynolds number
fluid can be related to the forces, torques and stresslets acting upon them by
22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$,
$Y^A_{11}$, etc. Near-field asymptotic forms of these resistance functions were
derived in Jeffrey and Onishi (J. Fluid Mech., 1984) and Jeffrey (Phys. Fluids
A, 1992); these forms are now used in several numerical methods for suspension
mechanics. However, the first of these important papers contains a number of
small errors which make it difficult for the reader to correctly evaluate the
functions for parameters not explicitly tabulated. This short article
comprehensively corrects these errors, and adds formulae that were originally
omitted from both papers, so that the reader can verify and implement the
equations independently. The corrected expressions, rationalised and using
contemporary nondimensionalisation, are shown to match mid-field values of
these scalars which are calculated through an alternative method. A Python
script to generate and evaluate these functions is provided.
