🌙

☰

Algebraic function

In mathematics, an algebraic function is a function that satisfies a polynomial equation. Thus an equation of the following form holds: a n ( x ) f ( x ) n + a n − 1 ( x ) f ( x ) n − 1 + ⋯ + a 1 ( x ) f ( x ) + a 0 ( x ) = 0 {\displaystyle a_{n}(x)f(x)^{n}+a_{n-1}(x)f(x)^{n-1}+\cdots +a_{1}(x)f(x)+a_{0}(x)=0} where the a k ( x ) {\displaystyle a_{k}(x)}…

History, Algebraic functions in one variable & Overview