Misstatements in: The calculus of finite differences [Macmillan, London, 1933; Zbl 8, 18] by L. M. Milne-Thomson

Abstract:

Milne-Thomson’s "proofs" of the interpolating property of the continued fraction employing reciprocal differences, as well as the symmetry property of reciprocal differences, are shown to be faulty. He also makes a similar misleading, though correct, statement in connection with divided differences.