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Transactions of the American Mathematical Society

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Représentation asymptotique des fonctions de Mathieu et des fonctions d'onde sphéroidales


Author: Robert Sips
Journal: Trans. Amer. Math. Soc. 66 (1949), 93-134
MSC: Primary 33.0X
DOI: https://doi.org/10.1090/S0002-9947-1949-0033395-6
MathSciNet review: 0033395
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  • [S] Goldstein, Mathieu functions, Trans. Cambridge Philos. Soc. vol. 23 (1927) pp. 303-336.
  • [E] L. Ince, The Mathieu equation with numerically large parameters, J. London Math. Soc. vol. 2 (1927) pp. 46-50.
  • 1. -, Tables of the elliptic-cylinder functions, Proc. Roy. Soc. Edinburgh vol. 52 (1932) pp. 355-433.
  • [N] G. Baber and H. R. Hasse, The two center problem in wave mechanics, Proc. Cambridge Philos. Soc. vol. 31 (1935) pp. 564-581.
  • [E] Egil A. Hylleraas, Équation d’ondes d’un électron dans le champ de forces de deux noyaux atomiques Problème de l’ion moléculaire d’hydrogène, Ann. Inst. H. Poincaré 7 (1937), no. 3, 121–153 (French). MR 1508038
  • [J] J. A. Stratton, P. M. Morse, L. J. Chu, and R. A. Hutner, Elliptic Cylinder and Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients, John Wiley and Sons, Inc., New York, 1941. MR 0008333

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DOI: https://doi.org/10.1090/S0002-9947-1949-0033395-6
Article copyright: © Copyright 1949 American Mathematical Society