The Born partial wave integrals of Seaton [3] are considered. It is shown that the treatment of Whelan [5] may be further simplified and that these integrals may be expressed as a finite sum of associated Legendre polynomials of the second kind. This provides a convenient method for their numerical evaluation and allows the relationship between the Born and Bethe reactance matrices to be given in explicit analytic form.

‘Asymptotic shapes of inflated noncircular elastic rings’

‘Asymptotic shapes of inflated spheroidal nonlinearly elastic shells’

Formulae (2·12) of both papers, giving an expression for the curvature, k̅, are wrong. To correct them, let ο(s) be the angle between r̅′ = ν̅a+ηb and i. Then

whence formulae (3·2) of both papers imply that

Formula (C) corrects the erroneous expression for k by adding the second term on the right-hand side of (C). Since this term is of order ∈, the analysis in the remainder of both papers is unaffected by this correction. (The analyses of higher-order terms do not include a study of corrections to the curvature.)