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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Latin square, or cyclic, functions


Author: E. T. Bell
Journal: Trans. Amer. Math. Soc. 35 (1933), 734-745
MSC: Primary 33B99; Secondary 33B10
MathSciNet review: 1501714
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  • [1] L. Olivier, Bemerkungen über eine Art von Funktionen . . . , Crelle's Journal, vol. 2 (1827), pp. 243-251.
  • [2] J. W. L. Glaisher, On functions with recurring derivatives, Proceedings of the London Mathematical Society, vol. 4 (1872), pp. 113-116.
  • [3] P. Appell, Sur certaines fonctions analogues aux fonctions circulaires, Comptes Rendus, Paris, vol. 84 (1877), pp. 1378-1380.
  • [4] J. W. L. Glaisher, Functions analogous to the sine and cosine, Quarterly Journal, vol. 16 (1879), pp. 15-33.
  • [5] A. Cayley, On Latin squares, Messenger of Mathematics, vol. 19 (1890), pp. 135-137 (Collected Papers, vol. 13, No. 903).
  • [6] P. A. MacMahon, Combinatorial Analysis, vol. 1, 1915.
  • [7] E. T. Bell, Periodic functions of n variables connected with an algebraic number field of degree n, Quarterly Journal, vol. 50 (1927), pp. 314-328.
  • [8] P.Humbert, Sur une généralisation de l'équation de Laplace, Journal des Mathématiques, (9), vol. 8 (1929), pp. 145-159.
  • [9] D. V. Jonescu, Sur une équation aux dérivées partielles du troisième ordre, Bulletin de la Société Mathématique de France, vol. 58 (1930), pp. 224-229.
  • [10] E. T. Bell, Periodic recurring series, Proceedings of the National Academy of Sciences, vol. 16 (1930), pp. 750-752.
  • [11] J. Devisme, Comptes Rendus, Paris, vol. 193 (1931), pp. 981-983, 825-828; ibid., vol. 194, pp. 516-519.
  • [12] P. Humbert, On Appell's function $ P(\theta ,\phi )$, Proceedings of the Edinburg Mathematical Society, (2), vol. 3(1932), pp. 53-55.
  • [13] J. Devisme, Sur la fonction génératrice de la fonction $ P(m\theta ,n\phi )$ d'Appell, Académie Royale de Belgique, Bulletin, (5), vol. 18 (1932), pp. 505-506.
  • [14] E. T. Bell, A Laplacian Equation, Amer. Math. Monthly 39 (1932), no. 9, 515–517. MR 1522619, http://dx.doi.org/10.2307/2300825

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1933-1501714-5
PII: S 0002-9947(1933)1501714-5
Article copyright: © Copyright 1933 American Mathematical Society