Lagrange Inversion Theorem

(Theory)

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Theory
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What is Lagrange inversion theorem?

In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse function of an analytic function.

Technology Types

functioninverse functionmathematical relationpropositionstatementtheoremtheorems in analysistheorems in combinatorictheorems in complex analysistheorems in real analysistheory

Synonyms

Lagrange expansionLagrange inversionLagrange inversion formulaLagrange-Buermann formulaLagrange-Burmann formulaLagrange-Bürmann formulaLagrange–Bürmann formulaSeries reversion

Translations

Lagrangesche Inversionsformel (de)Teorema de inversión de Lagrange (es)Teorema di inversione di Lagrange (it)Théorème d'inversion de Lagrange (fr)Теорема Лагранжа об обращении рядов (ru)Теорема Лагранжа про обернення рядів (uk)

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