An analogue of l’Hospital’s rule
HTML articles powered by AMS MathViewer
- by Maxwell Rosenlicht PDF
- Proc. Amer. Math. Soc. 37 (1973), 369-373 Request permission
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
- E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753–824. MR 58591, DOI 10.2307/2372550
- Joseph Fels Ritt, Integration in Finite Terms. Liouville’s Theory of Elementary Methods, Columbia University Press, New York, N. Y., 1948. MR 0024949
- Maxwell Rosenlicht, On the explicit solvability of certain transcendental equations, Inst. Hautes Études Sci. Publ. Math. 36 (1969), 15–22. MR 258808
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 369-373
- MSC: Primary 12H05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318117-2
- MathSciNet review: 0318117