In mathematics, an algebroid function is a solution of an algebraic equation whose coefficients are analytic functions. So y(z) is an algebroid function if it satisfies
a d ( z ) y d + … + a 0 ( z ) = 0 , {\displaystyle a_{d}(z)y^{d}+\ldots +a_{0}(z)=0,}
where a k ( z ) {\displaystyle a_{k}(z)} are analytic. If this equation is irreducible then the function is d-valued, and can be defined on a Riemann surface having d sheets.
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