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- Lagrange_reversion_theorem abstract "This page is about Lagrange reversion. For inversion, see Lagrange inversion theorem.In mathematics, the Lagrange reversion theorem gives series or formal power series expansions of certain implicitly defined functions; indeed, of compositions with such functions.Let v be a function of x and y in terms of another function f such thatThen for any function g,for small y. If g is the identityIn 1770, Joseph Louis Lagrange (1736–1813) published his power series solution of the implicit equation for v mentioned above. However, his solution used cumbersome series expansions of logarithms. In 1780, Pierre-Simon Laplace (1749–1827) published a simpler proof of the theorem, which was based on relations between partial derivatives with respect to the variable x and the parameter y. Charles Hermite (1822–1901) presented the most straightforward proof of the theorem by using contour integration.Lagrange's reversion theorem is used to obtain numerical solutions to Kepler's equation.".
- Lagrange_reversion_theorem wikiPageExternalLink mueller.html.
- Lagrange_reversion_theorem wikiPageExternalLink LagrangeInversionTheorem.html.
- Lagrange_reversion_theorem wikiPageExternalLink xfghtmlnode8.html.
- Lagrange_reversion_theorem wikiPageID "953148".
- Lagrange_reversion_theorem wikiPageRevisionID "578059693".
- Lagrange_reversion_theorem hasPhotoCollection Lagrange_reversion_theorem.
- Lagrange_reversion_theorem subject Category:Inverse_functions.
- Lagrange_reversion_theorem subject Category:Theorems_in_analysis.
- Lagrange_reversion_theorem type Abstraction100002137.
- Lagrange_reversion_theorem type Communication100033020.
- Lagrange_reversion_theorem type Function113783816.
- Lagrange_reversion_theorem type InverseFunction113784537.
- Lagrange_reversion_theorem type InverseFunctions.
- Lagrange_reversion_theorem type MathematicalRelation113783581.
- Lagrange_reversion_theorem type Message106598915.
- Lagrange_reversion_theorem type Proposition106750804.
- Lagrange_reversion_theorem type Relation100031921.
- Lagrange_reversion_theorem type Statement106722453.
- Lagrange_reversion_theorem type Theorem106752293.
- Lagrange_reversion_theorem type TheoremsInAnalysis.
- Lagrange_reversion_theorem comment "This page is about Lagrange reversion. For inversion, see Lagrange inversion theorem.In mathematics, the Lagrange reversion theorem gives series or formal power series expansions of certain implicitly defined functions; indeed, of compositions with such functions.Let v be a function of x and y in terms of another function f such thatThen for any function g,for small y.".
- Lagrange_reversion_theorem label "Lagrange reversion theorem".
- Lagrange_reversion_theorem sameAs m.03syz9.
- Lagrange_reversion_theorem sameAs Q6402928.
- Lagrange_reversion_theorem sameAs Q6402928.
- Lagrange_reversion_theorem sameAs Lagrange_reversion_theorem.
- Lagrange_reversion_theorem wasDerivedFrom Lagrange_reversion_theorem?oldid=578059693.
- Lagrange_reversion_theorem isPrimaryTopicOf Lagrange_reversion_theorem.