Lagrange reversion theorem
id:
lagrange-reversion-theorem-275-15680031
title:
Lagrange reversion theorem
text:
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 that Then for any function g, for small enough y: If g is the identity, this becomes In which case the equation can be derived using perturbation theory. In 1770, Joseph Louis Lagrange (1736–1813) published his power series solution of the implicit equa
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https://en.wikipedia.org/wiki/Lagrange_reversion_theorem
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date modified:
2023-11-07T08:42:55Z
main entity:
{"identifier":"Q6402928","url":"https://www.wikidata.org/entity/Q6402928"}
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