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


Author: Herbert E. Salzer
Journal: Math. Comp. 34 (1980), 323-324
MSC: Primary 65Q05; Secondary 39A05
MathSciNet review: 551310
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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.


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DOI: https://doi.org/10.1090/S0025-5718-1980-0551310-4
Article copyright: © Copyright 1980 American Mathematical Society