Abstract
A theorem for the inversion of a class of implicit functions, more general than the one considered by Lagrange, is proved. The inversion is developed as a power series in a small parameter. Recursive relations for the coefficients of the series are given.
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Feagin, T., Gottlieb, R.G. Generalization of Lagrange's implicit function theorem to N-dimensions. Celestial Mechanics 3, 227–231 (1971). https://doi.org/10.1007/BF01228035
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DOI: https://doi.org/10.1007/BF01228035