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The American Mathematical Monthly Volume 71, 1964 - Issue 7

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Original Articles

A Division Algebra for Sequences and Its Associated Operational Calculus

Louis BrandUniversity of Houston

Pages 719-728 | Published online: 11 Apr 2018

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https://doi.org/10.1080/00029890.1964.11992311

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Jan Mikusiński, Operational Calculus, Pergamon Press, London and New York, 1959.
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Jan Mikusiński; ibid. p. 342.
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Jan Mikusiński, ibid, part 1, chapter 2.
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Jan Mikusiński, ibid, part 1, chapter 3.
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Jan Mikusiński, ibid. p. 42, ex. 1. The equation should read x'-x = (2t − l)e^t².
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Jan Mikusiński, ibid. part 2, chapter 3.
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Jan Mikusiński, ibid. p. 164, 12.
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Josef Eliáš, O Operátorovej Metóde Riesenia Diferenčyyeh Rovnik, Mat.-Fyz. Časopis, Sav. VIII, 4(1958) 203–227.
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T. A. Newton, An application of the generating function to differential equations, this Monthly, 68(1961) 242–244.
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D. H. Moore, Convolution products and quotients and algebraic derivatives of sequences, this Monthly, 69(1962) 132–138.
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L. Brand, Binomial expansions in factorial powers, this Monthly, 67(1960) 953–957.
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