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)} are polynomials (not all zero).
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)} are polynomials (not all zero).
Source: Wikipedia "Algebraic function" · CC BY-SA 4.0
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