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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Anharmonic polynomial generalizations of the numbers of Bernoulli and Euler
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by E. T. Bell
Trans. Amer. Math. Soc. 24 (1922), 89-112
DOI: https://doi.org/10.1090/S0002-9947-1922-1501215-7
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References
    J. Blissard: Theory of generic equations, Quarterly Journal of Mathematics, vol. 4 (1861), pp. 279-305; vol. 5 (1862), pp. 58-75, 185-208. J. Blissard: Examples of the use and application of the representative notation, ibid., vol. 6 (1864), pp. 49-64. J. Blissard: Researches in analysis, ibid., vol. 7 (1865), pp. 155-170, 223-226.
  • Edouard Lucas, Theorie des Fonctions Numeriques Simplement Periodiques, Amer. J. Math. 1 (1878), no. 4, 289–321 (French). MR 1505176, DOI 10.2307/2369373
    • E. Lucas: Théorie des Nombres, 1891. J. W. L. Glaisher: On elliptic functions, Messenger of Mathematics, vol. 11 (1881-1882), pp. 81-95, 120-138. J. W. L. Glaisher: On the Bernoullian function, Quarterly Journal of Mathematics, vol. 29 (1898), pp. 1-168 (especially pp. 122-168). J. W. L. Glaisher: On a class of relations connecting any n consecutive Bernoullian functions, ibid., vol. 42 (1911), pp. 86-157. A. Cayley: An Elementary Treatise on Elliptic Functions, Edition 2 (1895). C. Hermite: Remarques sur le développement de cos am x, Paris Comptes Rendus, vol. 67 (1863), p. 613; Journal de Mathématiques pures et appliquées, (2) vol. 9 (1864), p. 289; Œuvres, vol. 2, pp. 265-270. C. Hermite: Sur les développements de $F(x) = {\text {sn}^a}\;x\;{\text {cn}^b}\;x\;{\text {dn}^c}\;x$ où les exposants sont entiers, Académie royale des Sciences de Stockholm, Bihang III, No. 10 (1875), pp. 3-10; Œuvres, vol. 3, pp. 222-235. C. Hermite: Sur le développement des fonctions elliptiques, Journal für die reine und angewandte Mathematik, vol. 81 (1876), pp. 220-228; Œuvres, vol. 3, pp. 236-245. L. Kronecker: Sur quelques fonctions symétriques et sur les nombres de Bernoulli, Journal de Mathématiques pures et appliquées, (2) vol. 1 (1856), pp. 385-391. L. Kronecker: Ueber die Bernoullischen Zahlen, Journal für die reine und angewandte Mathematik, vol. 94 (1883), pp. 268-269.
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Bibliographic Information
  • © Copyright 1922 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 24 (1922), 89-112
  • MSC: Primary 33C45; Secondary 33C80, 33E05
  • DOI: https://doi.org/10.1090/S0002-9947-1922-1501215-7
  • MathSciNet review: 1501215