Addendum to `On the singularity structure of the 2D Ising model susceptibility'

A remarkable product formula first derived by Palmer and Tracy (1981 Adv. Appl. Math.2329) for the integrand of the two-dimensional Ising model susceptibility expansion coefficients ^{(2n )}for temperatures Tless than the critical T_cis shown to apply equally for ^{(2n +1)}for T >T_cand agrees with formulae derived by Yamada (1984 Prog. Theor. Phys.711416). This new representation simplifies the derivation of the results in the original paper of this title (1999 J. Phys. A: Math. Gen.323889) to the extent that the leading series behaviour and the singularity structure can be deduced almost by inspection. The derivation of series is also simplified and I show, using extended series and knowledge of the singularity structure, that there is now unambiguous evidence for correction to scaling terms in the susceptibility beyond those inferred from a nonlinear scaling field analysis.