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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Recent investigations of the separation of Laplace’s equation
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by Parry Moon and Domina Eberle Spencer PDF
Proc. Amer. Math. Soc. 4 (1953), 302-307 Request permission
References
  • Parry Moon and Domina Eberle Spencer, Theorems on separability in Riemannian $n$-space, Proc. Amer. Math. Soc. 3 (1952), 635–642. MR 49439, DOI 10.1090/S0002-9939-1952-0049439-7
  • N. Levinson, B. Bogert, and R. M. Redheffer, Separation of Laplace’s equation, Quart. Appl. Math. 7 (1949), 241–262. MR 32091, DOI 10.1090/S0033-569X-1949-32091-3
    • R. M. Redheffer, Separation of Laplace’s equation (Massachusetts Institute of Technology Ph.D. Thesis, 1948); Research Laboratory of Electronics, M.I.T., Technical Report no. 68, June 2, 1948.
  • Luther Pfahler Eisenhart, Separable systems of Stackel, Ann. of Math. (2) 35 (1934), no. 2, 284–305. MR 1503163, DOI 10.2307/1968433
    • G. LamĂ©, Leçons sur les coordonnĂ©es curvilignes et leurs diverses applications, Paris, 1859. M. BĂ´cher, Ăśber die Reihenentwickelungen der Potentialtheorie, Leipzig, Teubner, 1894. (See particularly the list of separable cyclide systems on p. 102 and the pictures on pp. 72 to 85); C. Segre, Etude des diffĂ©rentes surfaces du 4$^{e}$ ordre Ă  conique double ou cuspidale, Math. Ann. vol. 24 (1884) p. 313. A. Wangerin, Reduction der Potentialgleichung fĂĽr gewisse Rotationskörper auf eine gewöhnliche Differentialgleichung, Preis. d. Jablonowski Ges., Leipzig, no. 18, 1875; Ăśber ein dreifach orthogonales Flächensystem, gebildet aus gewissen Flächen vierter Ordnung, J. Reine Angew. Math. vol. 82 (1877) pp. 145, 348; Ăśber die Reduction der Gleichung (Laplace) auf gewöhnliche Differentialgleichungen, Monatsber. Kön. Akad. d. Wissen. Berlin, 1878, p. 152. G. Darboux, Sur l’application des mĂ©thodes de la physique mathĂ©matique Ă  l’étude des corps terminĂ©s par des cyclides, C. R. Acad. Sci. Paris vol. 83 (1876) pp. 1037, 1099; vol. 84 (1877) p. 298. R. M. Redheffer, Tech. Report No. 68, p. 60.
  • Parry Moon and Domina Eberle Spencer, Separability in a class of coordinate systems, J. Franklin Inst. 254 (1952), 227–242. MR 49438, DOI 10.1016/0016-0032(52)90460-2
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 4 (1953), 302-307
  • MSC: Primary 36.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1953-0053335-X
  • MathSciNet review: 0053335