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Proceedings of the American Mathematical Society

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An analogue of l'Hospital's rule

Author: Maxwell Rosenlicht
Journal: Proc. Amer. Math. Soc. 37 (1973), 369-373
MSC: Primary 12H05
MathSciNet review: 0318117
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Abstract: Formal power series expansions have proved as useful in differential algebra as in other fields of mathematics. The present work magnifies one small aspect of their theory (leading terms) to get a simple result that is independent of the expansions themselves and still of considerable utility.

References [Enhancements On Off] (What's this?)

  • [1] E. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753-824. MR 15, 394; 1140. MR 0058591 (15:394a)
  • [2] J. F. Ritt, Integration infinite terms, Columbia Univ. Press, New York, 1948. MR 9, 573. MR 0024949 (9:573a)
  • [3] M. Rosenlicht, On the explicit solvability of certain transcendental equations, Inst. Hautes Études Sci. Publ. Math. No. 36 (1969), 15-22. MR 41 #3454. MR 0258808 (41:3454)

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Article copyright: © Copyright 1973 American Mathematical Society

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